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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
Area of `Delta APC, Delta APB, Delta BPC` are equal if P is centroid. `P ((5 +2-1)/(3), (-3 +7+2)/(3))impliesP (2,2)`
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