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If triangle PQR is similar to triangle STU, and the sides of triangle PQR are 3,

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Question: If triangle PQR is similar to triangle STU, and the sides of triangle PQR are 3, 4, and 5, what are the lengths of the corresponding sides of triangle STU 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 ratio is 2:1, then the sides of triangle STU will be 3*2, 4*2, and 5*2, which are 6, 8, and 10.

If triangle PQR is similar to triangle STU, and the sides of triangle PQR are 3,

Practice Questions

Q1
If triangle PQR is similar to triangle STU, and the sides of triangle PQR are 3, 4, and 5, what are the lengths of the corresponding sides of triangle STU 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 triangle PQR is similar to triangle STU, and the sides of triangle PQR are 3, 4, and 5, what are the lengths of the corresponding sides of triangle STU if the ratio is 2:1?
  • Similarity of Triangles – Understanding that similar triangles have proportional sides based on a given ratio.
  • Ratio and Proportion – Applying the concept of ratios to find corresponding side lengths in similar triangles.
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