computational, 8 equal circles inside a right triangle
Source: 2011 XIV All-Ukrainian Tournament of Young Mathematicians, Qualifying p2
May 18, 2021
right triangleequal circlesgeometryUkrainian TYM
Problem Statement
Eight circles of radius located in a right triangle (angle is right) as shown in figure (each of the circles touches the respactive sides of the triangle and the other circles). Find the radius of the inscribed circle of triangle .
https://cdn.artofproblemsolving.com/attachments/4/7/1b1cd7d6bc7f5004b8e94468d723ed16e9a039.png