There's an applic- therom for that

Geometry Level 5

ΔABC\Delta ABC has side lengths 44, 5151 and 5353. Each of its sides are trisected and lines are drawn to each point of trisection from their corresponding angle. By doing this, a hexagon is created in the middle of the triangle. The area of this hexagon can be represented by p=x(x1)(x2)2+xp=x(x-1)(x-2)^2+x where xx is an integer and pp is the area of the hexagon. Find xx.

This problem is similar to one I posted previously but took down. This problem has different lengths and a different solution.

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