Eight circles of radius r located in a right triangle ABC (angle C 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 ABC.
https://cdn.artofproblemsolving.com/attachments/4/7/1b1cd7d6bc7f5004b8e94468d723ed16e9a039.png right triangleequal circlesgeometryUkrainian TYM