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how to find the distance between two points on a right triangle. We join P and Q and make a right triangle PQR as shown in the figure below. Given the two points x1 y1 and x2 y2 the distance d between these points is given by the formula.
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12 52 - 1 2 - 5 2. To calculate the distance A B between point A x 1 y 1 and B x 2 y 2 first draw a right triangle which has the segment A B as its hypotenuse. If the lengths of the sides are a and b then by the Pythagorean Theorem A B 2 A C 2 B C 2 Solving for the distance A B we have.
Therefore by the Pythagorean Theorem If A is represented by the ordered pair x 1 y 1 and C is represented by the ordered pair x 2 y 2 then AB x 2 x 1 and BC y 2 y 1.
Triangle ABC is a right triangle with AC the hypotenuse. How to find the angle of a right triangle. If a and b are legs and c is the hypotenuse then a2 b2 c 2 Using Pythagorean Theorem to Find Distance Between Two Points. D x 2 - x 1 2 y 2 - y 1 2 The expression x 2 - x 1 is read as the change in x and y 2 - y 1 is the change in y.
