# Point in a Right Triangle

Geometry Level 4

Triangle $$ABC$$ is a right triangle with $$\angle ABC = 90^\circ$$. $$P$$ is a point within triangle $$ABC$$ such that $$\angle APB = \angle BPC = \angle CPA = 120^\circ$$. If $$PA = 15$$ and $$PB = 6$$, what is the value of $$PC$$?

×