MathDB

2

Part of 2015 Singapore Junior Math Olympiad

Problems(1)

triangles with equal areas inside a convex hexagon with parallel sides

Source: Singapore Junior Math Olympiad 2015 2nd Round p2 SMO

3/26/2020
In a convex hexagon ABCDEF,ABABCDEF, AB is parallel to DE,BCDE, BC is parallel to EFEF and CDCD is parallel to FAFA. Prove that the triangles ACEACE and BDFBDF have the same area.
hexagonparallelequal areasareastriangle areageometry