Question

In the triangle below, P is the centroid, PF = 6 and AD = 15. What is the measure of AP ?

Answer 1

Answer: C) 10

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Explanation:

The centroid cuts the medians in such a way that AP is twice as long as PD

Let PD be equal to x. This means AP is 2x

The two pieces add to AP+PD = 2x+x = 3x = AD

Since AD = 15, we can then say,

AD = 15

3x = 15

x = 15/3

x = 5

Therefore,

PD = x = 5

AP = 2x = 2*5 = 10

This leads to answer choice C.