Let A(1,0),B(6,2), C(32,6) be the vertices of a triangle ABC. If P is – InterviewSolution

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1.	Let A(1,0),B(6,2), C(32,6) be the vertices of a triangle ABC. If P is a point inside the triangle ABC such that the triangles APC, APB and BPC have equal areas, then the length of the line segment PQ, where Q is the point (−76,−13), is
Answer» Let $A (1, 0), B (6, 2)$ , $C (\frac{3}{2}, 6)$ be the vertices of a triangle $A B C$ . If $P$ is a point inside the triangle $A B C$ such that the triangles $A P C$ , $A P B$ and $B P C$ have equal areas, then the length of the line segment $P Q$ , where $Q$ is the point $(- \frac{7}{6}, - \frac{1}{3})$ , is

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