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If triangle XYZ is similar to triangle PQR and the length of XY is 5 cm and PQ i

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Question: If triangle XYZ is similar to triangle PQR and the length of XY is 5 cm and PQ is 10 cm, what is the ratio of their areas?

Options:

  1. 1:2
  2. 1:4
  3. 1:5
  4. 1:10

Correct Answer: 1:4

Solution: 

The ratio of the areas of similar triangles is the square of the ratio of their corresponding sides. (5/10)² = 1/4.

If triangle XYZ is similar to triangle PQR and the length of XY is 5 cm and PQ i

Practice Questions

Q1
If triangle XYZ is similar to triangle PQR and the length of XY is 5 cm and PQ is 10 cm, what is the ratio of their areas?
  1. 1:2
  2. 1:4
  3. 1:5
  4. 1:10

Questions & Step-by-Step Solutions

If triangle XYZ is similar to triangle PQR and the length of XY is 5 cm and PQ is 10 cm, 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 Triangles – The ratio of the areas of similar triangles is equal to the square of the ratio of their corresponding side lengths.
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