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1 vote
Lengths

17,3, 26
16, 11, 5
11.1.20.4, 8.5
21, 7,6
lengths, determine if they can be the side leng
Can be side lengths
of a triangle
Cannot be side
lengths of a triangle
X
Ś

1 Answer

5 votes

The lengths are matched as follows

17, 3, 26: Can be side lengths of a triangle

16, 11, 5: Cannot be side lengths of a triangle

11.1, 20.4, 8.5: Cannot be side lengths of a triangle

21, 7, 6: Can be side lengths of a triangle

How to find the triangle sides

Sets of three numbers, they can represent the side lengths of a triangle if and only if the sum of the two smaller lengths is greater than the longest length. This is known as the triangle Inequality theorem.

We have that:

17, 3, 26: Can be side lengths of a triangle (17 + 3 > 26).

16, 11, 5: Cannot be side lengths of a triangle (5 + 11 is not greater than 16).

11.1, 20.4, 8.5: Cannot be side lengths of a triangle (8.5 + 11.1 is not greater than 20.4).

21, 7, 6: Can be side lengths of a triangle (6 + 7 > 21).

So, two sets can be side lengths of a triangle, and two sets cannot.

User Viktor W
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