MathDB
area of a triangle, right triangle related (May Olympiad 2003 L1)

Source:

May 11, 2019
geometryarea of a triangleareasright triangle

Problem Statement

The triangle ABCABC is right in AA and RR is the midpoint of the hypotenuse BCBC . On the major leg ABAB the point PP is marked such that CP=BPCP = BP and on the segment BPBP the point QQ is marked such that the triangle PQRPQR is equilateral. If the area of triangle ABCABC is 2727, calculate the area of triangle PQRPQR .