2016 Geometry Tiebreaker #2
Source:
August 11, 2022
2016Geometry Tiebreaker
Problem Statement
A four-pointed star is formed by placing for equilateral triangles of side length in a coordinate grid. The triangles are placed such that their bases lie along one of the coordinate axes, with the midpoint of the bases lying at the origin, and such that the vertices opposite the bases lie at four distinct points. Compute the area contained within the star.