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If two triangles are similar and the lengths of the sides of the first triangle

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Question: If two triangles are similar and the lengths of the sides of the first triangle are 3 cm, 4 cm, and 5 cm, what are the lengths of the sides of the second triangle if the ratio of similarity is 2:1?

Options:

  1. 6 cm, 8 cm, 10 cm
  2. 3 cm, 4 cm, 5 cm
  3. 1.5 cm, 2 cm, 2.5 cm
  4. 4 cm, 5 cm, 6 cm

Correct Answer: 6 cm, 8 cm, 10 cm

Solution: 

In similar triangles, corresponding sides are in the same ratio. If the ratio is 2:1, the sides of the second triangle will be 2 × (3 cm, 4 cm, 5 cm) = (6 cm, 8 cm, 10 cm).

If two triangles are similar and the lengths of the sides of the first triangle

Practice Questions

Q1
If two triangles are similar and the lengths of the sides of the first triangle are 3 cm, 4 cm, and 5 cm, what are the lengths of the sides of the second triangle if the ratio of similarity is 2:1?
  1. 6 cm, 8 cm, 10 cm
  2. 3 cm, 4 cm, 5 cm
  3. 1.5 cm, 2 cm, 2.5 cm
  4. 4 cm, 5 cm, 6 cm

Questions & Step-by-Step Solutions

If two triangles are similar and the lengths of the sides of the first triangle are 3 cm, 4 cm, and 5 cm, what are the lengths of the sides of the second triangle if the ratio of similarity is 2:1?
  • Similarity of Triangles – Understanding that similar triangles have corresponding sides in proportion.
  • Ratio and Proportion – Applying the given ratio to find the lengths of the sides of the second triangle.
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