In the above triangle ABC, point P is the centroid of the triangle. The length of AE is 15 cm. Find the length of AP and PE.
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Solution
The point of intersection of all the medians (or the centroid), divides each median in the ratio 2 : 1.
So, AP : PE =2 : 1
New, AE =15 AP=23×15=10cm PE=13×15=5cm