In triangle PQR, medians PM, QN, and RL intersect at the centroid O. What is the ratio of the area of triangle OPQ to the area of triangle PQR?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 1 : 3.
If G is the centroid of △ABC, the triangle formed by the centroid and two vertices (e.g., GAB) has an area of exactly 1/3 of the area of the original triangle.
So, [△OPQ] : [△PQR] = 1 : 3