Question

Which of the following sets of possible side lengths forms a triangle? 6, 9, and 15 4, 10, and 15 10, 15, and 25 12, 12, and 23

Answer 1

Answer: 12, 12, and 23

Explanation:

By definition, when three lengths form a triangle, the sum of two of them must be greater that the third lenght.

To find out which of the options given in the problem form a triangle, you must add the first two lenghts and verify that the sum is greater than the third lenght.

Keeping this on mind, when you verify the last option you have:

12+12=24

24>23

Therefore, the answer is the last option.