rotating a right trangle around a large leg to form a cone
Source: I All-Ukrainian Tournament of Young Mathematicians, Qualifying p17
May 12, 2021
geometry3D geometryconeright triangleUkrainian TYM
Problem Statement
A right triangle when rotating around a large leg forms a cone with a volume of . Calculate the length of the path that passes through each vertex of the triangle at rotation of around the point of intersection of its bisectors, if the sum of the diameters of the circles, inscribed in the triangle and circumscribed around it, are equal to .