Let A, B, C be the mid-points of sides PQ, QR PR, respectively, of △ PQR, If the area of △ PQR is 32 cm², then find the area of △ ABC.

Let A, B, C be the mid-points of sides PQ, QR PR…

Let A, B, C be the mid-points of sides PQ, QR PR, respectively, of $\triangle$ PQR, If the area of $\triangle$ PQR is 32 cm², then find the area of $\triangle$ ABC.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 8 $cm^2$ .

Given that A, B, and C are the midpoints then, the area of △PAB, △ACQ, △CRB, and, △ABC will be equal.

The area of △PQR = 32 cm²

Thus,

Area of △ABC = 32/4 = 8 cm²

SSC CGL 2023 PYQ — Question 55