# Point in a triangle

Geometry Level 4

$$\color{red}{A(-13,14)}$$, $$\color{blue}{B(-3,-5)}$$ and $$\color{green}{C(7,11)}$$ are the vertices of a triangle. The coordinates of the point $$P$$ inside the triangle $$ABC$$ such that $$\Delta PBC$$ is an equilateral triangle is $$(p,q)$$.Find $$p+q$$

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