Determine the length of the third side of a triangle from the choices provided if the first two sides measure 10 and 12.
Pick one of the following choices.
1. 22
2. 15
3. 30
4. 24
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