Area of Pentagon
Source: 1972 USAMO Problem 5
March 6, 2010
geometryparallelogram
Problem Statement
A given convex pentagon has the property that the area of each of five triangles , and is unity (equal to 1). Show that all pentagons with the above property have the same area, and calculate that area. Show, furthermore, that there are infinitely many non-congruent pentagons having the above area property.