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If two triangles are similar with a ratio of their sides as 2:3, what is the rat

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Question: If two triangles are similar with a ratio of their sides as 2:3, what is the ratio of their areas?

Options:

  1. 2:3
  2. 4:9
  3. 3:2
  4. 9:4

Correct Answer: 4:9

Solution: 

The ratio of the areas of similar triangles is the square of the ratio of their corresponding sides. Therefore, (2/3)^2 = 4/9.

If two triangles are similar with a ratio of their sides as 2:3, what is the rat

Practice Questions

Q1
If two triangles are similar with a ratio of their sides as 2:3, what is the ratio of their areas?
  1. 2:3
  2. 4:9
  3. 3:2
  4. 9:4

Questions & Step-by-Step Solutions

If two triangles are similar with a ratio of their sides as 2:3, what is the ratio of their areas?
  • Similarity of Triangles – Triangles are similar if their corresponding angles are equal and their sides are in proportion.
  • Area Ratio of Similar Figures – The ratio of the areas of similar figures is equal to the square of the ratio of their corresponding linear dimensions.
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