Discussion

Explanation:

In ∆PBO and ∆QAO

∠B = ∠A = 90°

∠POB = ∠QOA (vertically opposite angles)

∴ ∆PBO ∼ ∆QAO ...(By A-A test of similarity)

⇒ The ratio of the areas of similar triangles is equal to ratio of the square of the their respective sides.

POQO2=AreaPBOAreaQAO 

572=150AreaQAO 

⇒ Area(∆QAO) = 294 sq.cm.

Hence, 294.

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