MathDB
distance of a point from incircle equals to a diameter of incircle

Source: 2019 Oral Moscow Geometry Olympiad grades 8-9 p1

May 21, 2019
geometrydiameterincircleincenterdistance

Problem Statement

In the triangle ABC,IABC, I is the center of the inscribed circle, point MM lies on the side of BCBC, with ∠BIM=90o\angle BIM = 90^o. Prove that the distance from point MM to line ABAB is equal to the diameter of the circle inscribed in triangle ABCABC
Back to ProblemsView on AoPS