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10 votes
10 votes
Which of these lengths CANNOT represent the sides of a triangle? {28, 30, 58} {32, 34, 60} {13, 20, 27} {2, 4, 5}

User Ransom
by
2.2k points

1 Answer

12 votes
12 votes

Answer:


image

Explanation:

Required

Which of the lengths do not form a triangle

To do this, we make use of triangle inequality theorem which states that.


image


image


image

Where
image are the sides of the triangle.

So, we have:


image


image --- False


image --- True


image --- True


image


image -- True


image -- True


image -- True


image


image -- True


image -- True


image --- True


image


image --- True


image -- True


image --- True

From the computations above, only (A) cannot form a triangle

User Jeff Leonard
by
3.2k points
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