If the areas of two similar triangles are in the ratio 196 ∶ 625,what would be the ratio of the corresponding sides? 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 2)
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  1. 14 ∶ 25
  2. 13 ∶ 20
  3. 14 ∶ 20
  4. 13 ∶ 25

Answer (Detailed Solution Below)

Option 1 : 14 ∶ 25
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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Given:

Area of △ABC : Area of △DEF = 196 : 625

Formula used:

Area of △1/Area of 2 = (side of 1)2/(side of 2)2

Calculation:

Area of △ABC/Area of DEF = (AB)2/(DE)2

⇒ 196/625 = (AB/DE)2

⇒ AB/DE = √196/√625 = 14/25

∴ The correct option is 1.  

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