The distance formula is derived from the pythagorean theorem. The _____ is a result derived from the Pythagorean Theorem.

The distance formula is derived from the pythagorean theorem It helps to find the distance between two points in two dimensions. 1/4. The distance formula can be derived from the Pythagorean Theorem. Apr 28, 2022 · The difference in the distance formula and the pythagorean theorem is that the distance formula finds the distance between two points while the pythagorean theorem usually finds the hypotenuse of a right triangle. For each example in the indicated table, identify all polarized covalent bonds and label the appropriate atoms with partial positive or negative charges. Calculate the distance between two points in the Cartesian plane! In a 3D coordinate plane, the distance between two points, A and B, with coordinates (x 1, y 1, z 1) and (x 2, y 2, z 2), can also be derived from the Pythagorean Theorem. The Distance Formula finds the change in x and the change in y of the three points. Jun 16, 2023 · The pythagorean theorem, on the other hand, is something they seem to know by heart by the time they get to my precalculus class. The Distance Formula University of Minnesota The Distance Formula Preliminaries and Objectives Preliminaries • Pythagorean Theorem Objectives • Find the distance between two points in the Cartesian plane University of Minnesota The Distance Formula Pythagorean Theorem a b c Pythagorean Theorem a2 +b2 = c2 University of Minnesota The Jan 1, 2025 · The Distance Formula. Consider a circle with center and radius . In a right triangle, the Jun 27, 2024 · You can calculate the shortest distance between these two points by using the Euclidean distance formula, which is a Pythagorean theorem-related algebraic expression. The Pythagorean theorem is used to derive the distance formula. A right triangle is any triangle that has one right internal angle. You can use the 2-D distance formula to find the distance from point A to point F. Start by plotting the points on the coordinate plane: Oct 19, 2022 · The difference in the distance formula and the pythagorean theorem is that the distance formula finds the distance between two points while the pythagorean theorem usually finds the hypotenuse of a right triangle. The formula of distance is derived from The Pythagorean theorem is a very popular theorem that shows a special relationship between the sides of a right triangle. 1 Lesson Based on Lesson 8. The distance formula is used in coordinate geometry to find the distance between two points in a plane. The Distance Formula gives the distance between two points in a coordinate plane. The Distance Formula. The lesson begins by teaching you to visualize a distance between two points in the coordinate plane as the hypotenuse of a right triangle. 00:04 How to derive the Squared Distance Formula: A restatement of the Pythagorean Theorem in terms of distance between two points. Apr 28, 2022 · Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The distance between the two points (x 1,y 1) and (x 2,y 2) is given by the distance formula. . In this tutorial, you'll get introduced to the Pythagorean theorem and see how it's used to solve for a missing length on a right triangle! Apr 6, 2018 · I have drawn a graph in which there are two points #color(red)(p_1(x_1,y_1))" and "color(red)(p_2(x_2,y_2)#. Jul 11, 2019 · Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. Deriving the Pythagorean Theorem Formula From our previous lesson, we discussed the Pythagorean Theorem Formula. find the distance between two points using the Distance Formula; and 2. The Pythagorean theorem states that, in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the two shorter sides. Use the Pythagorean Theorem to derive the formula for the distance between two points (x_1, y_1, z_1) and (x_2, y_2, z_2) in three-dimensional coordinate space: d = Squareroot (x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2. How to determine the true statement? The Pythagorean theorem states that: Hypotenuse^2 = Opposite^2 + Adjacent^2 . Now if we want to find the distance between them, we use the distance formula. It is derived from the Pythagorean theorem. Credit for proving the theorem goes to the Greek philosopher Pythagoras The Pythagorean theorem is a very popular theorem that shows a special relationship between the sides of a right triangle. Let be any point on the circle. The distance formula can be derived from the Pythagorean theorem and is applicable in both two and three dimensions to calculate the straight-line distance between points. Basically, distance formula is the form of Pythagorean Theorem in 2D. The Pythagorean Theorem, \(a^2+b^2=c^2\), is based on a right triangle where \(a\) and \(b\) are the lengths of the legs adjacent to the right angle, and \(c\) is the length of the hypotenuse. x² + y² = distance² (4 - 0)² + (3 - 0)² = 25 16 + 9 = 25 So we take the square root of both sides and we get sqrt(16 + 9) = 5. Use The Distance Formula worksheet (M-8-6-2_Distance Formula and KEY. Nov 8, 2023 · To find the distance between the points (-1, -4) and (-9, -8), we can use the distance formula derived from the Pythagorean theorem. Join this channel to get access to perks:https://www. The ____ ____ is a result derived from the Pythagorean Theorem. The Distance formula is derived from which concept: Pythagorean Theorem Geometry theorem Triangle theorem Distance theorem 100% (2 rated) 31 Calculate the length of each side of triangle RST. It is derived from the Pythagorean theorem and is given by the formula: Distance = √[(x2 - x1)^2 + (y2 - y1)^2] Where (x1, y1) and (x2, y2) are the coordinates of the two points. Nov 12, 2015 · As long as we stay in the context of Euclidean Geometry (not in the contemporary sense), the distance formula can be derived from the Pythagorean Theorem. To find the distance between two points ($$x_1, y_1$$) and ($$x_2, y_2$$), all that you need to do is use the coordinates of these ordered pairs and apply the formula pictured below. The distance formula is represented as: xy = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2. That is, [latex] {c^2}={a^2} + {b^2}[/latex], where [latex]c[/latex] is the longest side and [latex]a[/latex] and Nov 7, 2023 · To find the distance between two points, we can use the distance formula derived from the Pythagorean theorem. The distance formula only applies to points in one dimension. Jun 21, 2024 · The distance formula, derived from the Pythagorean theorem, calculates the distance between two points in a plane using their coordinates. Thus we can prove that the distance formula is derived by the Pythagorean Theorem. According to the definition of a circle, the distance between and is equal to the radius . We expect our distance to be more than or equal to our horizontal and vertical distances. Construct a line from x1 to x2 and y1 to y2. 10 m/s. The Pythagorean Theorem allows you to relate the three sides of a right triangle; in particular, it allows you to find the length of the third side of a right triangle, given the lengths of the other two sides. You must use the 3-D distance formula to find the distance from point D to point F. First In the coordinate plane, we can use the distance formula to find the distance between any two points. Use the distance formula and the Pythagorean theorem to find the distance, to the nearest tenth, from R(6,-5) to U(-2,6) (a) What is the Pythagorean theorem? (b) Give an example of it in geometry. B. Midpoint Formula Finding the average values of the representative coordinates of the two endpoints of a line segment in a coordinate plane is also known as using the ____ ____. In a two-dimensional Cartesian coordinate system, the distance formula is derived from the Pythagorean theorem. A simple example of a non-Euclidean metric is the metric variously known as the A derivation of the 2D distance formula using the Pythagorean Theorem. In this tutorial, you'll get introduced to the Pythagorean theorem and see how it's used to solve for a missing length on a right triangle! After this lesson, you will be able to derive the Distance Formula from the Pythagorean Theorem and use the Distance Formula to find the distance between two points. Solution. A. The Pythagorean Theorem is related to the distance formula because the distance formula is derived from Pythagorean Theorem. Jul 2, 2024 · The formula is derived from the Pythagorean theorem and is given by: Distance = [Tex]\sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2} [/Tex] What is the distance formula for physics 10? In Class 10 physics, the distance formula typically refers to the equation used to calculate the distance traveled by an object moving at a constant speed. The distance between two points is always greater than or equal to zero. apply Distance Formula in proving properties of some geometric figures. 4 The Pythagorean Theorem and the Distance Formula Goal Use the Pythagorean Theorem and the Distance Formula. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. It can be derived using the Pythagorean theorem. Let’s find the distance between two general points A = (x 1, y 1) and B = (x 2, y 2). com/chan In this video, we derived the distance formula using the Pythagorean theorem. B ASIC TO TRIGONOMETRY and calculus is the theorem that relates the squares drawn on the sides of a right-angled triangle. In a right triangle, the Shows how to use the distance formula to determine the distance between two points. The distance formula is given by: d = (x 2 − x 1 ) 2 + (y 2 − y 1 ) 2 Where (x 1 , y 1 ) and (x 2 , y 2 ) are the coordinates of the two points. If you have, you already know how to find the distance between two points! We usually think of the Pythagorean Theorem only for a right triangle that's drawn, but you can also use it to find the distance between two points on a plane. The distance formula can only be written correctly in one way. In this video, we investigate why, and apply it to finding lengths of se Oct 24, 2023 · The distance formula is derived from the Pythagorean theorem. Apr 28, 2022 · The Pythagorean theorem defines Euclidean distance between two points in space. Formula The distance between the points A (x 1 , y 1 ) and B (x 2 , y 2 ) is given by the euclidean distance formula as: Have you used the Pythagorean Theorem before? If not, make sure to check out the Pythagorean Theorem lesson. docx) to challenge students to derive the distance formula from the 1. Using the distance formula and the Pythagorean theorem, find the distance to the nearest tenth from R(6,-5) to U(-2,6). Shows how to use the distance formula to determine the distance between two points. May 31, 2024 · It is derived from the Pythagorean theorem, which is commonly used to find the distance between two points in a 2-dimensional (2-D) plane. Find Apr 28, 2022 · Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. Taking the square root of both sides will solve the right hand side for d, the distance. Let's solve the following problems using the distance formula: Line segment A B is translated 5 units to the right and 6 units down to produce line A ′ B ′ . ) a b c 2. Distance Formula. It is possible for the distance between two points to be negative. Sep 22, 2020 · The Pythagorean Theorem is used to derive the Distance Formula in geometry. The distance formula can be derived from the Pythagorean theorem. It also shows how it is derived from the Pythagorean Theorem. I love showing them that they can use their much beloved pythagorean theorem to solve the distance questions instead of the distance formula. Referencing the above figure and using the Pythagorean Theorem, AC 2 = (x 2 - x 1 ) 2 + (y 2 - y 1 ) 2 . But what this formula is really doing is using the pythagorean theorem. The distance formula is a mathematical equation used to calculate the distance between two points in a coordinate plane. How is the Pythagorean Theorem Related to the Distance Formula? Pythagorean formula is used to The Distance Formula is a variant of the Pythagorean Theorem that you used back in geometry. Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. Create a free account to view solutions. Apr 24, 2017 · The distance formula, which is a fundamental formula in applied geometry, is derived from the Pythagorean theorem. C. We can easily say that #" "bar(OD)=x_1" ; "bar(OE)=x_2 Mar 27, 2022 · This page titled 1. You can derive the distance formula by noticing that you can follow the following path between any two points to obtain a right triangle: start at point 1, change x (keep y constant) until you're directly above or below point 2, and then alter y and keep x constant until you're at point 2. 4. It strikes the floor in 0. 480 s. Option A is incorrect as the distance formula applies beyond one dimension. The distance formula cannot be derived from the Pythagorean Theorem. Given two points {eq}(x_1,y_1) {/eq} and {eq}(x_2,y_2) {/eq The formula was derived from the Pythagorean theorem, which states that for any right triangle, the square of the hypotenuse is equal to the sum of the square of the two legs. The distance formula is derived from the Pythagorean theorem. #maths #math #mathematics #lecture #tutorial #algebra #precalculus #distanceformula #de To find the length of a segment in geometry, use the Distance Formula, $ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} $, derived from the Pythagorean Theorem. How is the distance formula derived from the Pythagorean theorem? Write a proof of how this shows the Pythagorean theorem; Given a right triangle, use the Pythagorean theorem to find a when b=20 and c= 40 Again, we just need to perform direct substitution into the Pythagorean Theorem formula using the known values then solve for [latex]c[/latex] or the hypotenuse. The distance between any two points. Essentially, the distance formula is derived from the Pythagorean theorem, where the differences in coordinates serve as the two legs of the triangle. The distance formula can be written correctly in several different ways. A proof of the Pythagorean theorem. Apr 12, 2024 · Now, let's derive the equation of a circle using the distance formula and the Pythagorean theorem. The distance formula states that the distance between two points with coordinates (x1, y1) and (x2, y2) is equal to Sqrt((x2 – x1)^2 + (y2 – y1)^2). 4[/latex] feet. openupresources. How does one find the square root in Pythagorean Theorem? Find the distance between (-9, 3) and (-1,-5) by using the Pythagorean Theorem. 1 from Math I from Open Up Resources. c2 = a2 + b2 d2 = (x 2 – x 1)2 + (y 2 – y 1)2 d = When using the Pythagorean Theorem, typically the lengths of two sides are given and students are asked to find the third side. The Distance Formula is not a variation of the Pythagorean Theorem. Trying to find the distance between two points on the coordinate plane? Use the distance formula! Can't remember it? Not a problem if you've watched this tutorial! This tutorial shows you how to derive the distance formula. Jun 15, 2022 · If this process is generalized for two points \ ( (x_1, y_1) and \ ( (x_2, y_2), the Distance Formula is derived. Ans. You da real mvps! $1 per month helps!! :) https://www. What I Know Direction: Choose the letter of the correct answer and write it on a separate sheet of paper. com/patrickjmt !! In this video I show how t Distance Formula Worksheet The goal of this worksheet is to be able to derive the formula for the distance between two points. Read below to see solution formulas derived from the Pythagorean Theorem formula: \[ a^{2} + b^{2} = c^{2} \] Solve for the Length of the Hypotenuse c Discover lengths of triangle sides using the Pythagorean Theorem. Take the square of both sides . 1) – Using the distance formula. The Pythagorean Theorem, [latex]{a}^{2}+{b}^{2}={c}^{2}[/latex], is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse. MATHS Related Links The distance formula is derived using the Pythagorean Theorem, which you will learn more about in geometry. Here is why. For a hypotenuse, 𝑐, and the two shorter sides, 𝑎 and 𝑏, the Pythagorean theorem states that 𝑎 + 𝑏 = 𝑐. You want to find the distance from P1 to P2. What is the Pythagorean Theorem? (Hint: It involves the sides of the right triangle below. Key Words • leg • hypotenuse • Pythagorean Theorem • Distance Formula The photo shows part of twin skyscrapers in Malaysia that are connected by a skywalk. 1. Aug 31, 2018 · The distance formula is used to calculate the distance between two points in a coordinate system. It is derived from the Pythagorean Theorem because the distance between two points can be thought of as the hypotenuse of a right triangle. For any real numbers x1 and x2 , the absolute value of x2−x1 squared is equivalent to the expression (x2−x1)^2. (13. The distance formula is derived from the Pythagorean theorem, which states that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse. (x1 −x2)2 + (y1 −y2)2 = d2. Finding the distance between two distinct points on a plane is the same as finding the hypotenuse of a right triangle. Explain how the Pythagorean Theorem and the Distance Formula are related. Using the Pythagorean Theorem formula for right triangles you can find the length of the third side if you know the length of any two other sides. Follow the steps to easily derive the Distance Formula using the concept of the Pythagorean Theorem. The distance formula is a method of determining the distance of a line segment between two points. Identify distance as the hypotenuse of a right triangle. Let' s call them P1 and P2 and they have coordinates (x1,y1) and (x2, y2) respectively. Consider points [latex](x_1,y_1)[/latex] and [latex](x_2,y_2). Some Intuition. The distance formula can be written correctly in only one way. This playlist explains the Pythagorean Theorem, uses it to derive the distance formula, then explains how to use the distance formula May 22, 2017 · How do you find the distance between two points? To find distance between two points we can use the distance formula. Distance Formula Using what we know about the Pythagorean theorem, we are able to derive the distance formula which is used to find the straight distance between two points in a coordinate plane. Pythagorean Theorem In any right triangle, the sum of the square of the two perpendicular sides is equal to the square of the longest side. The distance formula is used to find the distance between two The Pythagorean theorem relates to the distance formula by providing the mathematical foundation for calculating the distance between two points as the hypotenuse of a right triangle. orgFind the distance between two points in the coordinate plane. Apr 28, 2022 · Take any two points in the plane. Fill in the blanks. D = √(x₂ - x₁) ² + (y₂ - y₁)² Shows how to use the distance formula to determine the distance between two points. Pythagoras stated, if the length of the legs (smallest side) are squared and their sum is found, the sum will be equal to the square of the hypotenuse (longest side). Jul 17, 2012 · This tutorial shows how to derive the distance formula by using the Pythagorean theorem. Therefore, the length of the ladder is [latex]4\sqrt {26}[/latex] feet or approximately [latex]20. Mastering this formula is crucial for success in geometry and coordinate algebra. Thanks to all of you who support me on Patreon. Feb 20, 2019 · the distance formula is used to find the distance between two points in the plane. Using the Distance Formula Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. (-1, -1) and (4, -5) Use the Pythagorean theorem to find the distance between the points (-3, -2) and (0, -1). The (blank) is a result derived from the Pythagorean theorem. Explanation: To find the distance between two points in a coordinate plane, we can use the distance formula, which is derived from the Pythagorean theorem. The (x1, y1) and (x2, y2) can be switched in the Distance Formula. Study with Quizlet and memorize flashcards containing terms like true or false? the distance between points (x1, y1) and (4,8) is the square root of (x1-8)^2 + (y1-4)^2, when you use the distance formula, you are building a right triangle whose _____ connects two points, true or false? if you know the pythagorean theorem, then you can always find the distance between two points in the plane How is the distance formula derived from the Pythagorean theorem? Find the distance between (-9, 3) and (-1,-5) by using the Pythagorean Theorem. Ignore air resistance. The straight line The Distance Formula is derived directly from the Pythagorean Theorem for triangles. Using the Distance Formula. ) The distance formula is a method of determining the distance of a line segment between two points. The skywalk is supported by a set of beams. Definition: The Pythagorean Theorem. Find (a) the height of the tabletop above the floor; (b) the horizontal distance from the edge of the table to the point where the book strikes the floor; (c) the horizontal and vertical components of the book’s velocity, and the magnitude and direction of its Shows how to use the distance formula to determine the distance between two points. In the Cartesian plane, what is the distance of the point (2, -3) from the origin? Feb 14, 2022 · We then take it one step further and use the Pythagorean Theorem to find the length of the hypotenuse of the triangle—which is the distance between the points. Therefore, Option B is the correct choice. The distance between points (x1, y1) and (x2, y2) is given by: distance = sqrt Pythagorean Theorem: where a and b are lengths of the legs of a fight triangle and c is the length of the hypotenuse "sum of the squares of the legs is equal to the square of the hypotenuse" Example: 49 _ 65 c fight triangle acute triangle obtuse triangle AV Identifying triangles by their sides: a a a Distance Formula mustrates Pythagorean Theorem! The Distance Formula. 6: Distance Formula and the Pythagorean Theorem is shared under a CK-12 license and was authored, remixed, and/or curated by CK-12 Foundation via source content that was edited to the style and standards of the LibreTexts platform. The distance formula is a standard formula that allows us to plug a set of coordinates into the formula and easily calculate the distance between the A physics book slides off a horizontal tabletop with a speed of 1. If the coordinates of A are (xa, ya, za) and those of B are (xb, yb, zb) then, using the Pythagoras theorem in 3-dimensions, |AB| = sqrt[(xa - xb)2 + (ya - yb)2 + (za - zb)2] However, Euclidean distance is not the only distance metric. And calculated the distance between two points, as an example using the formula Oct 12, 2024 · Algebraic proofs of the Pythagorean Theorem use the properties of algebraic equations to establish the relationship between the sides of a right triangle. This video tutorial explains how the distance formula is derived from the Pythagorean Theorem. Distance formula is derived from Pythagorean theorem. Sep 28, 2020 · A. D. The procedure we just used can be generalized by using the Pythagorean Theorem to derive a formula for the distance between any two points on the coordinate plane. Use the Pythagorean theorem to find the distance between the points. , Which of the following statements is not true? A. The _____ is a result derived from the Pythagorean Theorem. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse. [/latex] The diagram below shows the desired distance [latex]d[/latex] between them, which is the hypotenuse of a right triangle with sides THE PYTHAGOREAN DISTANCE FORMULA. The _____ _____ is a result derived from the Pythagorean Theorem. In this tutorial, you'll get introduced to the Pythagorean theorem and see how it's used to solve for a missing length on a right triangle! Jan 22, 2020 · It is true that the distance formula is derived from the Pythagorean theorem. Explanation: The distance formula makes sense in a coordinate context. (Think of the two points as diagonally opposite corners of a three-dimensional box and apply the Pythagorean Theorem twice. Math I 8. A derivation of the 2D distance formula using the Pythagorean Theorem. 1. Explanation: The correct answer to the question is d. Example \(\PageIndex{1}\) Use the rectangular coordinate system to find the distance between the points \((6,4)\) and \((2,1)\). For our points, we have: x 1 = − 1; y 1 = − 4; x 2 = − 9 Feb 22, 2019 · The Pythagorean Theorem is a mathematical relationship between the sides of a right triangle. Use the Pythagorean theorem to determine which of the following give the measures of the legs and hypotenuse of a right triangle: 3, 4, 5 or 4, 11, 14 or 9, 14, 17 or 8, 14, 16 or 8, 15, 17. patreon. Determine distance between ordered pairs. You even use the Pythagorean theorem to find it! Take a look! Here the equation \[\left( 5 \right)\] is known as the distance formula and the equation \[\left( 1 \right)\] is known as Pythagorean Theorem. If you have two points (x1, y1) and (x2, y2), the distance d between these points is given by: d = sqrt((x2 - x1)² + (y2 - y1)²) Jun 25, 2020 · The distance formula is derived from the Pythagorean Theorem and can be used to calculate the distance between two points in a coordinate system. Given an ordered pair of the form (x,y), x is called the abscissa. One common method is to place the triangle on a coordinate plane and use the distance formula, which is derived from the theorem itself, to show that the relationship holds. #maths #math #mathematics #lecture #tutorial #algebra #precalculus #distanceformula #de May 4, 2020 · Pythagorean Theorem Formula. This is the Pythagorean Theorem with the vertical and horizontal differences between (x1,y1) and (x2,y2). Example: To find the distance between the points P(2, 3) and Q(1, 1). x y 2 = (x 2 − x 1 ) 2 + (y 2 − y 1 ) 2 The Pythagorean theorem is a very popular theorem that shows a special relationship between the sides of a right triangle. Linking the Pythagorean Theorem and the Distance Formula Pythagorean Theorem In a right triangle, the square of the hypotenuse is equal to the sum of the squares. The distance formula is a generalization of the Pythagorean theorem and can be used to find the distance Exactly, we use the distance formula, which is a use of the Pythagorean Theorem. In coordinate geometry, the distance formula is √[(x2 – x1)^2 + (y2 – y1)^2]. youtube. The distance of a point from the origin. This is shown in the equation \[\left( 6 \right)\]. The formula is: Once students understand that the Pythagorean theorem can be used to find the distance between two points on a coordinate plane, introduce the distance formula:, where d is the distance between and . The Pythagorean theorem: @$$\begin{align*}c^2 = a^2 + b^2\end{align*}@$$ Let two points be @$\begin{align*}(x_1, y_1)\end{align*}@$ and @$\begin{align*}(x_2, y_2)\end{align*}@$. For two points, (x 1 , y 1 ) and (x 2 , y 2 ), the distance d between these points can be calculated using the formula: The distance formula is a mathematical formula used to determine the distance between two points in either two or three dimensions. Derivation of Formula Jun 22, 2023 · It matters which point is denoted as (x1, y1) or (x2, y2) in the Distance Formula. Compare the steps for using the Pythagorean Theorem and for using the Distance Formula to find the distance between two points on the coordinate plane. We want to nd a formula for the distance between the two points (x1;y1) and (x2;y2). It is expressed as √((x2 - x1)² + (y2 - y1)²), where (x1, y1) and (x2, y2) represent the points. The distance formula can be derived using the Pythagoras theorem. It states that the square of the longest side of a right triangle is equal to the sum of the squares of the shorter sides. This method is practical in fields like engineering, architecture, and navigation. Distance can be calculated using the formula derived from Pythagoras theorem.