16

Part of 2008 Stanford Mathematics Tournament

Problems(1)

Area of a Triangle in a Hexagon

Source:

Suppose convex hexagon

\text{HEXAGN}

120^\circ

-rotational symmetry about a point

P

—that is, if you rotate it

120^\circ

P

, it doesn't change. If PX\equal{}1, find the area of triangle

\triangle{GHX}

geometrysymmetryrotation