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

Question

Pick one of the following choices.
1. 22
2. 15
3. 30
4. 24

Answer 1

To determine the length of the third side of the triangle, we can use the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, the first two sides measure 10 and 12.

So, the third side must be greater than 2 and less than the sum of 10 and 12.

10 + 12 = 22

Therefore, the third side must be greater than 2 and less than 22, so the only valid choice from the options provided is:

1. 22