MathDB
2018 PUMaC Live Round 2.2

Source:

January 13, 2019
PuMACLive Roundgeometry

Problem Statement

Let ABCABC be a triangle with side lengths 13,14,1513,14,15. The points on the interior of ABCABC with distance at least 11 from each side are shaded. The area of the shaded region can be written in simplest form as mn\tfrac{m}{n}. Find m+nm+n.