Question

Which of the following sets of numbers could be the side lengths of a triangle?

4, 7, and 13
9, 13, and 23
2, 3, and 4
10, 10, and 30

Answer 1

2, 3, and 4

Explanation:

To determine if the given sides make a triangle, the sum of any two sides should be greater than the third.

a)

4, 7, and 13

4 + 7 > 13

11 > 13 FALSE

b)

9, 13, and 23

9 + 13 > 23

22 > 23 FALSE

c)

2, 3, and 4

2 + 3 > 4

5 > 4 TRUE

d)

10, 10, and 30

10 + 10 > 30

20 > 30 FALSE