distance point from a line is half the hypotenuse
Source: 2016 Oral Moscow Geometry Olympiad grades 8-9 p3
July 30, 2019
right triangledistancegeometry
Problem Statement
A circle with center passes through the ends of the hypotenuse of a right-angled triangle and intersects its legs at points and . Prove that the distance from point to line is half the hypotenuse.