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If triangle PQR is similar to triangle STU and the length of PQ is 12 cm while S

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Question: If triangle PQR is similar to triangle STU and the length of PQ is 12 cm while ST is 16 cm, what is the ratio of PQ to ST?

Options:

  1. 3:4
  2. 4:3
  3. 12:16
  4. 16:12

Correct Answer: 3:4

Solution: 

The ratio of PQ to ST is 12:16, which simplifies to 3:4.

If triangle PQR is similar to triangle STU and the length of PQ is 12 cm while S

Practice Questions

Q1
If triangle PQR is similar to triangle STU and the length of PQ is 12 cm while ST is 16 cm, what is the ratio of PQ to ST?
  1. 3:4
  2. 4:3
  3. 12:16
  4. 16:12

Questions & Step-by-Step Solutions

If triangle PQR is similar to triangle STU and the length of PQ is 12 cm while ST is 16 cm, what is the ratio of PQ to ST?
  • 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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