An interesting problem . . . Did you make a sketch?
If two equilateral triangles of area A intersect to form a regular hexagon,
then what is the area of the hexagon?Code:* / \ *---*---*---* \ /o\o/o\ / * - * - * / \o/o\o/ \ *---*---*---* \ / *
Each equilateral triangle is comprised of nine smaller triangles.
They overlap in a hexagon comprised of six triangles.
The hexagon has an area which is of an equilateral triangle.
Area of hexagon: .