194

Part of 1951 Moscow Mathematical Olympiad

Problems(1)

MMO 194 Moscow MO 1951 largest area polygon, side a, sum of angles

Source:

One side of a convex polygon is equal to

a

, the sum of exterior angles at the vertices not adjacent to this side are equal to

120^o

. Among such polygons, find the polygon of the largest area.

geometrymaximumareasconvex polygon