hexagon with 1/2 triangle area, ,_|_ midpoints (Oral Moscow Team MO 2004.1.10B4)
Source:
November 26, 2020
geometryhexagonarea of a triangle
Problem Statement
From the midpoints of the sides of an acute-angled triangle, perpendiculars are drawn to the adjacent sides. The resulting six straight lines bound the hexagon. Prove that its area is half the area of the original triangle.