Exams › SSC CGL (Prelims) › General

In triangle PQR, the medians PX, QY and RZ meet at the centroid O. What is the ratio of the area of triangle PQO to the area of triangle PQR?

1. 1 : 2
2. 1 : 3
3. 2 : 3
4. 1 : 4

Correct answer: 1 : 3

Solution

The three medians of a triangle divide it into three triangles of equal area meeting at the centroid. Triangle PQO is one of these, so its area is one-third of triangle PQR, giving a ratio of 1 : 3.

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