# Division of area of a triangle

Geometry Level 4

$$P$$ is a point in triangle $$ABC$$. The lines $$AP, BP,$$ and $$CP$$ intersect the sides $$BC, CA,$$ and $$AB$$ at points $$D, E,$$ and $$F$$, respectively. If $$[ BDP] = 10,$$ $$[DPC] = 16,$$ $$[ APB ] = 210$$, what is $$[ APC]$$?

Details and assumptions

$$[PQRS]$$ denotes the area of the figure $$PQRS$$.

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