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If two triangles are similar and the length of a side in the first triangle is 5

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Question: If two triangles are similar and the length of a side in the first triangle is 5 cm and the corresponding side in the second triangle is 15 cm, what is the ratio of their sides?

Options:

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

Correct Answer: 1:3

Solution: 

The ratio of the sides of the two similar triangles is 5:15, which simplifies to 1:3.

If two triangles are similar and the length of a side in the first triangle is 5

Practice Questions

Q1
If two triangles are similar and the length of a side in the first triangle is 5 cm and the corresponding side in the second triangle is 15 cm, what is the ratio of their sides?
  1. 1:2
  2. 1:3
  3. 1:4
  4. 1:5

Questions & Step-by-Step Solutions

If two triangles are similar and the length of a side in the first triangle is 5 cm and the corresponding side in the second triangle is 15 cm, what is the ratio of their sides?
  • Similarity of Triangles – Understanding that similar triangles have proportional sides.
  • Ratio Simplification – The ability to simplify ratios to their lowest terms.
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