MathDB
2015 Team #4

Source:

August 3, 2022
2015team test

Problem Statement

Let ABC\triangle ABC be a right triangle with hypotenuse ACAC. A square is inscribed in the triangle such that points D,ED,E are on ACAC, FF is on BCBC, and GG is on ABAB. Given that AG=2AG=2 and CF=5CF=5, what is the area of BFG\triangle BFG?