MathDB

3

Part of 2000 Baltic Way

Problems(1)

Three concurrent lines

Source: Baltic Way 2000 Problem 3

2/13/2009
Given a triangle ABC ABC with \angle A \equal{} 90^{\circ} and AB≠AC AB \neq AC. The points D D, E E, F F lie on the sides BC BC, CA CA, AB AB, respectively, in such a way that AFDE AFDE is a square. Prove that the line BC BC, the line FE FE and the line tangent at the point A A to the circumcircle of the triangle ABC ABC intersect in one point.
geometrycircumcircletrigonometrygeometry unsolved