Question

In a square PQRS, A and B are two points on PS and SR such that PA = 2AS, and RB = 2BS If PQ = 6, the area of the triangle ABQ is (in sq. cm)

Accepted Answer

C. Square side = 6. Area(PQRS) = 36. $PA = 4, AS = 2$, $RB = 4, BS = 2$. Area($	riangle APQ$) = $\frac{1}{2} 	imes 6 	imes 4 = 12$. Area($	riangle RBQ$) = $\frac{1}{2} 	imes 6 	imes 4 = 12$. Area($	riangle ASB$) = $\frac{1}{2} 	imes 2 	imes 2 = 2$. Area($	riangle ABQ$) = $36 - (12 + 12 + 2) = 10$ sq. cm.

Area of Inscribed Triangle in Square

Explanation

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