Math Prize 2013 Problem 1
Source:
September 10, 2013
geometry
Problem Statement
The figure below shows two equilateral triangles each with area 1.
[asy]
unitsize(40);
draw(polygon(3));
draw(rotate(60) * polygon(3));
[/asy]
The intersection of the two triangles is a regular hexagon. What is the area of the union of the two triangles?