395

Part of 1985 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 395 All Soviet Union MO 1985 hexagon area is1/2 triangle area

Source:

Two perpendiculars are drawn from the midpoints of each side of the acute-angle triangle to two other sides. Those six segments make hexagon. Prove that the hexagon area is a half of the triangle area.

geometryhexagonareas