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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, 4, and 5, what are the lengths of the sides of the second triangle if the ratio is 2:1?

Options:

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

Correct Answer: 6, 8, 10

Solution: 

If the triangles are similar with a ratio of 2:1, the sides of the second triangle will be 2 * (3, 4, 5) = (6, 8, 10).

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, 4, and 5, what are the lengths of the sides of the second triangle if the ratio is 2:1?
  1. 6, 8, 10
  2. 3, 4, 5
  3. 1.5, 2, 2.5
  4. 4, 5, 6

Questions & Step-by-Step Solutions

If two triangles are similar and the lengths of the sides of the first triangle are 3, 4, and 5, what are the lengths of the sides of the second triangle if the ratio is 2:1?
  • Similar Triangles – Triangles that have the same shape but may differ in size, with corresponding sides in proportion.
  • Ratio of Sides – The relationship between the lengths of corresponding sides of similar triangles.
  • Scaling Factors – The process of multiplying the lengths of the sides of one triangle by a constant to find the lengths of the sides of a similar triangle.
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