MathDB
2017 Geometry #9: Squares on the sides of the triangle

Source:

February 19, 2017
geometry

Problem Statement

Let ABCABC be a triangle, and let BCDEBCDE, CAFGCAFG, ABHIABHI be squares that do not overlap the triangle with centers XX, YY, ZZ respectively. Given that AX=6AX=6, BY=7BY=7, and CA=8CA=8, find the area of triangle XYZXYZ.