Areas of two similar triangles are 225 sq.cm. 81 sq.cm. If a side of the smaller
triangle is 12 cm, then find corresponding side of the bigger triangle
Ela
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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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