Geometry Distance Formula Math

Ab x2 x1 2 y2 y1 2 a b x 2 x 1 2 y 2 y 1 2. As the figure shows the distance formula is simply the pythagorean theorem a2 b2 c2 solved for the hypotenuse. Drag either point a x1 y1 or point c x2 y2 to investigate how the distance formula works.

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Take another look at the figure.

Geometry distance formula math. Given the two points x1 y1 and x2 y2 the distance d between these points is given by the formula. The distance between two points is also the length of the hypotenuse. Ab ac2 bc2 x2 x1 2 y2 y1 2 a b a c 2 b c 2 x 2 x 1 2 y 2 y 1 2. D sqrt x 2 x 1 2 y 2 y 1 2 d x2.

Start color 11accd start text d i s t a n c e end text end color 11accd. D x 2 x 1 2 y 2 y 1 2. X y 1 2 3 4 5 1 2 1 2 3 4 1 a b c length ab x2 x1 4 00 1 50 2 50. The legs of the right triangle a and b under the square root symbol have lengths equal to x2 x1 and y2 y1.

You can explore the concept of distance formula in the following interactive graph it s not a fixed image. The length of the segment between the two points is the. This is the widely used distance formula to determine the distance between any two points in the coordinate plane. Blued text distance distance.