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If triangle GHI is similar to triangle JKL and the length of GH is 5 cm and JK i

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Question: If triangle GHI is similar to triangle JKL and the length of GH is 5 cm and JK is 10 cm, what is the ratio of their corresponding sides?

Options:

  1. 1:2
  2. 2:1
  3. 1:1
  4. 5:10

Correct Answer: 1:2

Solution:

The ratio of corresponding sides of similar triangles is equal to the ratio of any two corresponding sides. Therefore, the ratio is 5:10, which simplifies to 1:2.

If triangle GHI is similar to triangle JKL and the length of GH is 5 cm and JK i

Practice Questions

Q1
If triangle GHI is similar to triangle JKL and the length of GH is 5 cm and JK is 10 cm, what is the ratio of their corresponding sides?
  1. 1:2
  2. 2:1
  3. 1:1
  4. 5:10

Questions & Step-by-Step Solutions

If triangle GHI is similar to triangle JKL and the length of GH is 5 cm and JK is 10 cm, what is the ratio of their corresponding sides?
  • Step 1: Understand that similar triangles have corresponding sides that are in proportion.
  • Step 2: Identify the lengths of the corresponding sides given in the problem. Here, GH = 5 cm and JK = 10 cm.
  • Step 3: Write the ratio of the lengths of the corresponding sides. This is GH to JK, which is 5 cm to 10 cm.
  • Step 4: Write the ratio as a fraction: 5/10.
  • Step 5: Simplify the fraction 5/10 by dividing both the numerator and the denominator by 5.
  • Step 6: The simplified ratio is 1/2, which can also be written as 1:2.
  • 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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