MathDB
IOQM 2023-24 P-5

Source:

September 3, 2023
geometryIOQMareasareaarea of a trianglebarycentric coordinatesbarycentric

Problem Statement

In a triangle ABCA B C, let EE be the midpoint of ACA C and FF be the midpoint of ABA B. The medians BEB E and CFC F intersect at GG. Let YY and ZZ be the midpoints of BEB E and CFC F respectively. If the area of triangle ABCA B C is 480 , find the area of triangle GYZG Y Z.