The sides of two similar triangles are in the ratio 5 ∶ 7. The areas of these triangles are in the ratio: 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 2)
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  1. 35 ∶ 49
  2. 15 ∶ 49
  3. 25 ∶ 49
  4. 36 ∶ 49

Answer (Detailed Solution Below)

Option 3 : 25 ∶ 49
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Detailed Solution

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Given:

The sides of two similar triangles are in the ratio 5 ∶ 7

Concept used:

Area ratio of two similar triangle = square of their side ratio

Calculation:

The sides of two similar triangles are in the ratio 5 ∶ 7

The areas of two similar triangles are in the ratio will be 25 : 49

∴ The correct option is 3

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