ratio of radii, right triangle related (2016 Kyiv City MO Round2 8.1)
Source:
September 7, 2020
ratioradiusright trianglegeometry
Problem Statement
In a right triangle, the point is the center of the circumcircle. Another circle of smaller radius centered at the point touches the larger leg and the altitude drawn from the top of the right angle. Find the acute angles of a right triangle and the ratio of the radii of the circumscribed and smaller circles.