concyclic centers of squares out right triangle (2015 HOMC Junior-Senior Q10 )
Source:
July 19, 2019
geometrySquaresConcyclicright triangle
Problem Statement
A right-angled triangle has property that, when a square is drawn externally on each side of the triangle, the six vertices of the squares that are not vertices of the triangle are concyclic. Assume that the area of the triangle is cm. Determine the length of sides of the triangle.