Prove that pythagorean theorem holds for right triangle


Distance is represented as dist((x1 , y1 ), (x2 , y2 ))= sqrt((x2 - x1 )^2 - (y2 - y1)^2)

If we state the right triangle in Cartesian plane to be 3 points (0,0), (x1 , y1), and (x2 , y2) satisfying x1x2 + y1y2 +0. Using only properties of Cartesian plane, prove that Pythagorean Theorem holds for right triangle in Cartesian Plane.

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Mathematics: Prove that pythagorean theorem holds for right triangle
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