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TEA [102]
3 years ago
12

which of the following sets could not be the lengths of the sides of a triangle. {11,14, 25} {5, 6, 10} {4, 4, 5} {1, 2, 2}

Mathematics
1 answer:
NARA [144]3 years ago
6 0
A triangle is only possible if you can add any two sides and have the sum be larger than the third side. This happens with choice B, C, and D. 

With choice A, we have 11+14 = 25 not larger than the third side of 25. So a straight line is possible and it's not possible to draw a triangle with these dimensions. 

Answer: Choice A

note: This is using the triangle inequality theorem
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<em>Additional comment</em>

The two smaller numbers correspond to side lengths. The larger one corresponds to the hypotenuse length.

We typically write the numbers of a Pythagorean triple in increasing order, but the order doesn't really matter. As sides of a triangle, the triangle formed is a right triangle, regardless of the order.

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Step-by-step explanation:

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Hope this help you :3

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