If the ratio of corresponding sides of two similar triangles is 5 : 7, then what is the ratio of the areas of the two triangles?

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DFCCIL Executive CBT1 Civil 25 Aug 2023 Shift 3 Official Paper
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  1. 125 : 49
  2. 25 : 49
  3. 25 : 7
  4. 5 : 7

Answer (Detailed Solution Below)

Option 2 : 25 : 49
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Detailed Solution

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Given:

The ratio of corresponding sides of two similar triangles = 5 : 7

Formula Used:

The ratio of the areas of two similar triangles is the square of the ratio of their corresponding sides.

Calculation:

Let the ratio of the corresponding sides be 5/7.

The ratio of the areas of the two triangles = (Ratio of sides)2

⇒ (5/7)2

⇒ 25/49

The ratio of the areas of the two triangles is 25 : 49.

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