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If triangle PQR is similar to triangle STU and the length of side PQ is 9 cm whi

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Question: If triangle PQR is similar to triangle STU and the length of side PQ is 9 cm while side ST is 15 cm, what is the ratio of PQ to ST?

Options:

  1. 3:5
  2. 5:3
  3. 9:15
  4. 15:9

Correct Answer: 3:5

Solution: 

The ratio of corresponding sides of similar triangles is PQ:ST = 9:15, which simplifies to 3:5.

If triangle PQR is similar to triangle STU and the length of side PQ is 9 cm whi

Practice Questions

Q1
If triangle PQR is similar to triangle STU and the length of side PQ is 9 cm while side ST is 15 cm, what is the ratio of PQ to ST?
  1. 3:5
  2. 5:3
  3. 9:15
  4. 15:9

Questions & Step-by-Step Solutions

If triangle PQR is similar to triangle STU and the length of side PQ is 9 cm while side ST is 15 cm, what is the ratio of PQ to ST?
  • Similarity of Triangles – Understanding that similar triangles have proportional corresponding sides.
  • Ratio Simplification – The ability to simplify ratios to their lowest terms.
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