Question

Which numbers could represent the lengths of the sides of a triangle?

1) 5,9,14 2) 7,7,15 3) 1,2,4 4) 3,6,8

Answer 1

4) 3, 6, 8

Explanation:

For three segment lengths to be able to form a triangle, the sum of any two of them must be greater than the third.

1)

5 + 9 = 14

14 is not greater than 14, so answer is no.

2)

7 + 7 = 14

14 is not greater than 15, so answer is no.

3)

1 + 2 = 3

4 is not greater than 4, so answer is no.

4)

3 + 6 = 9

9 > 8, so answer is yes.

Answer: 4) 3, 6, 8