C. 1271. Consider circumscribed circle of a right-angled triangle. Draw the semicircle containing the triangle, and draw tangents to it, parallel to the legs. The parallels together with the line of the hypotenuse form a similar right-angled triangle.
Find the angles of the triangle if the area of the outer triangle is 6 times the area of the inner triangle.
Based on the idea of I. Légrádi, Sopron
This problem is for grade 11 - 12 students only.
Deadline expired on 10 February 2015.