MathDB

10

Part of 2015 Hanoi Open Mathematics Competitions

Problems(1)

concyclic centers of squares out right triangle (2015 HOMC Junior-Senior Q10 )

Source:

7/19/2019
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 99 cm2^2. Determine the length of sides of the triangle.
geometrySquaresConcyclicright triangle