MathDB
2013 HMMT Geometry # 1

Source:

March 3, 2024
geometry

Problem Statement

Jarris the triangle is playing in the (x,y)(x, y) plane. Let his maximum yy coordinate be kk. Given that he has side lengths 66, 88, and 1010 and that no part of him is below the xx-axis, find the minimum possible value of kk.