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r-ruslan [8.4K]
3 years ago
6

Which of the following possibilities will form a triangle?

Mathematics
1 answer:
ikadub [295]3 years ago
6 0

Answer:

  Side = 12 cm, side = 5 cm, side = 8 cm

Step-by-step explanation:

In order to form a triangle with non-zero area, the sum of the shortest two sides must exceed the longest side.

This will be the case for {5, 8, 12}, but not for any of the others.

___

The side lengths {5, 8, 13} will form <em>a triangle with zero area</em>. This is acceptable according to one version of the triangle inequality (a+b≥c) but not according to the other version (a+b>c). Since you are apparently expected to find one "right answer", we assume the answer you want is the one shown above.

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