MathDB
Sharygin CR P22

Source: Sharygin CR P22

March 6, 2019
geometry

Problem Statement

Let AA0AA_0 be the altitude of the isosceles triangle ABC (AB=AC)ABC~(AB = AC). A circle γ\gamma centered at the midpoint of AA0AA_0 touches ABAB and ACAC. Let XX be an arbitrary point of line BCBC. Prove that the tangents from XX to γ\gamma cut congruent segments on lines ABAB and ACAC
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