Exams › SSC CGL (Prelims) › General

In triangle PQR, medians PM and QN intersect at G. If the length of median PM is 15 cm, what is the length of segment PG?

1. 4 cm
2. 5 cm
3. 7.5 cm
4. 10 cm

Correct answer: 10 cm

Solution

The centroid divides every median in the ratio 2:1 from the vertex. Therefore, \(PG = \frac{2}{3} \times PM = \frac{2}{3} \times 15 = 10\) cm.

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