Determine the length of the third side of a triangle from the choices provided if the first two sides measure 10 and 12.

22

24

30

15

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Given the first two sides measure 10 and 12, the third side must be less than the sum of the two sides which is 22.

Therefore, the correct answer is 22.

i thought it was fifteen

Apologies for the confusion, let's reevaluate the situation.

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Given that the first two sides measure 10 and 12, we can check if the third side of 15 is valid:

- 10 + 12 > 15
- 10 + 15 > 12
- 12 + 15 > 10

Since all three conditions are satisfied, the third side can indeed be 15.

Therefore, the correct answer is 15. Thank you for bringing this to my attention.