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

30

15

22

24

The third side of a triangle must be greater than the difference of the other two sides and less than the sum of the other two sides.

Therefore, the third side must be greater than |10 - 12| = 2 and less than 10 + 12 = 22.

Given the choices, the correct length for the third side is 22.