TOT 2006 Fall - Junior A-Level p4 sum of diameters of 3 in circles
Source:
February 25, 2020
geometryTangentsinradiushexagon
Problem Statement
A circle of radius is inscribed into an acute triangle. Three tangents to the circle split the triangle into three right angle triangles and a hexagon that has perimeter . Find the sum of diameters of circles inscribed into the three right triangles. (6)