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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 shortest side is 6?

Options:

  1. 6, 8, 10
  2. 9, 12, 15
  3. 12, 16, 20
  4. 15, 20, 25

Correct Answer: 6, 8, 10

Solution:

The ratio of similarity is 6/3 = 2. Therefore, the sides are 6*2, 4*2, 5*2 = 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 shortest side is 6?
  1. 6, 8, 10
  2. 9, 12, 15
  3. 12, 16, 20
  4. 15, 20, 25

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 shortest side is 6?
  • Similarity of Triangles – Understanding that similar triangles have proportional sides.
  • Ratio and Proportion – Calculating the ratio of corresponding sides to find unknown lengths.
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