MathDB
SMT 2023 Geometry #10

Source:

August 9, 2023
geometry

Problem Statement

Let △ABC\vartriangle ABC be a triangle with side lengths AB=13AB = 13, BC=14BC = 14, and CA=15CA = 15. The angle bisector of ∠BAC\angle BAC, the angle bisector of ∠ABC\angle ABC, and the angle bisector of ∠ACB\angle ACB intersect the circumcircle of △ABC\vartriangle ABC again at points DD, EE and FF, respectively. Compute the area of hexagon AFBDCEAF BDCE.
Back to ProblemsView on AoPS