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Let A(5,-3), B (2,7) and C (-1, 2) be th...

Let `A(5,-3), B (2,7) and C (-1, 2)` be the vertices of a `triangle ABC`. If P is a point inside the triangle ABC such that the triangle APC,APB and BPC have equal areas, then length of the line segment PB is:

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The correct Answer is:
5
Areas of `triangleAPC, triangleAPB,triangleBPC` are equal if P is centroid . `P((5+2-1)/3, (-3+7+2)/3) rArr` P(2,2)
Distance PB is 5.
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