Exams › SSC CGL (Prelims) › General

In \(\triangle PQR\), medians \(PL\), \(QM\), and \(RN\) intersect at centroid \(G\). If the area of \(\triangle PQR\) is 72 cm², what is the area of \(\triangle GQR\)?

1. 12 cm²
2. 18 cm²
3. 24 cm²
4. 36 cm²

Correct answer: 24 cm²

Solution

The centroid divides the triangle into six smaller triangles of equal area. Therefore, triangle \(GQR\) occupies one-third of the area of \(\triangle PQR\), which is 72/3 = 24 cm².

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