Let A(1, 0), B(6, 2) and C32,6 be the vertices of a triangle ABC. If P is a point inside the ΔABC such that ΔAPC, ΔAPB & ΔBPC have equal areas, then the length of the line segment PQ, where Q is the point −76,−13is_____.

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answer is PQ = 5.

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Detailed Solution

P must be centroid of ΔABC⇒P176,83 ∴ PQ=2462+93=5

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