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In similar triangles, if the ratio of the lengths of two corresponding sides is

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Question: In similar triangles, if the ratio of the lengths of two corresponding sides is 2:3, what is the ratio of their areas?

Options:

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

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.

In similar triangles, if the ratio of the lengths of two corresponding sides is

Practice Questions

Q1
In similar triangles, if the ratio of the lengths of two corresponding sides is 2:3, what is the ratio of their areas?
  1. 4:9
  2. 2:3
  3. 3:2
  4. 1:1

Questions & Step-by-Step Solutions

In similar triangles, if the ratio of the lengths of two corresponding sides is 2:3, what is the ratio of their areas?
  • Similar Triangles – Triangles that have the same shape but may differ in size, where corresponding angles are equal and corresponding sides are in proportion.
  • Area Ratio – 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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