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If triangle ABC is similar to triangle DEF, and the ratio of their corresponding

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Question: If triangle ABC is similar to triangle DEF, and the ratio of their corresponding sides is 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 triangle ABC is similar to triangle DEF, and the ratio of their corresponding

Practice Questions

Q1
If triangle ABC is similar to triangle DEF, and the ratio of their corresponding sides is 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 triangle ABC is similar to triangle DEF, and the ratio of their corresponding sides is 2:3, what is the ratio of their areas?
  • Similarity of Triangles – Triangles are similar if their corresponding angles are equal and their corresponding 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 (sides).
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