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Which of the following sets of numbers could be the lengths of the sides of a triangle?

A. 2, 5, 3 B. 3, 7, 9 C. 4, 9, 5 D. 7, 15, 6

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Which of the following sets of numbers could be the lengths of the sides of a triangle?

A. 2, 5, 3 B. 3, 7, 9 C. 4, 9, 5 D. 7, 15, 6

Answer

Thank about it this way, you have 3 logs, each different lengths, and you lay them next to each other.
The longest is on its own and the two smaller ones stacked on top of each other beside it.
In order to make a triangle, there must be at least a slight angle coming off the longer log - this means the sum of the other two must be larger than the longest one, otherwise a triangle cannot be made.
A) 5 - 2, 3 2 + 3 = 5 5 = 5 therefore no
B) 9 - 7, 3 7 + 3 = 10 9 13 therefore no B is the set of numbers

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Virtual Teaching Assistant: John B.
Question Level: Basic
Karma: Free
Upload Date: 5/31/2017

This 33 words question was answered by John B. on StudySoup on 5/31/2017. The question contains content related to Math Since its upload, it has received 147 views.

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