Answer:

Hello Dear.

Refers to the attachment for the solution.

Given ⇒

Area of the two SIMILAR triangles are 225 cm² and 81 cm².

By using the theorem,

When the two triangles are similar, then the RATIO of there areas is equal to the ratio of the square of there corresponding sides.

∴ Area of the ΔABC/Area of the ΔPQR = AB²/PQ²

∴ 225/81 = AB²/12²

⇒ AB² = 225 × 144/81

⇒ AB = √400

∴ AB = 20 cm.

Hence, the corresponding side of the bigger triangle is 20 cm.

Hope it helps.

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THANKS 

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