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Two triangles are similar with a ratio of their corresponding sides as 3:5. If t

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Question: Two triangles are similar with a ratio of their corresponding sides as 3:5. If the area of the smaller triangle is 27 cm², what is the area of the larger triangle?

Options:

  1. 45 cm²
  2. 75 cm²
  3. 60 cm²
  4. 50 cm²

Correct Answer: 75 cm²

Solution: 

Area ratio = (side ratio)² = (3/5)² = 9/25. Let area of larger triangle be A. 27/A = 9/25, A = 27 * (25/9) = 75 cm².

Two triangles are similar with a ratio of their corresponding sides as 3:5. If t

Practice Questions

Q1
Two triangles are similar with a ratio of their corresponding sides as 3:5. If the area of the smaller triangle is 27 cm², what is the area of the larger triangle?
  1. 45 cm²
  2. 75 cm²
  3. 60 cm²
  4. 50 cm²

Questions & Step-by-Step Solutions

Two triangles are similar with a ratio of their corresponding sides as 3:5. If the area of the smaller triangle is 27 cm², what is the area of the larger triangle?
  • Similarity of Triangles – Understanding that similar triangles have proportional sides and their areas relate to the square of the ratio of their corresponding sides.
  • Area Ratio Calculation – Calculating the area of similar figures using the square of the ratio of their corresponding sides.
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