JaysonL120
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Triangle A has side lengths 3, 4, and 5. Triangle B has side lengths 6, 7, and 8.
1. Explain how you know that Triangle B is not similar to Triangle A.
2. Give possible side lengths for Triangle B so that it is similar to Triangle A.

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sqdancefan

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Answer:

  1. side lengths are not proportional
  2. 6, 8, 10

Step-by-step explanation:

1. The triangles are not similar because the ratios of side lengths are not the same:

  3 : 4 : 5 ≠ 6 : 7 : 8

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2. We can make the ratios be the same by multiplying the side lengths by a common value, such as 2:

  3 : 4 : 5 = 6 : 8 : 10

If triangle B had side lengths of 6, 8, 10, then it would be similar to triangle A.

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