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Areas of two similar triangles are 225 sqcm, 81sqcm. If a side of thesmaller triangle is 12 cm. then find corresponding side of the biggertriangle. |
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Answer» 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 theΔABC/Area of theΔPQR = AB²/PQ²∴ 225/81 = AB²/12²⇒ AB² = 225× 144/81⇒ AB = √400∴ AB = 20 cm. |
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