Exams › SSC CGL (Prelims) › General

In triangle PQR, medians PX, QY, and RZ intersect 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 intersect at the centroid and divide the triangle into 6 equal-area small triangles. Triangle PQO consists of 2 of these 6 equal parts, so its area is one-third of the whole triangle.

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