Determine the lengths of the third side of a triangle from the choices provided the first 2 sides measure 10 and 12
The options are
22
24
30
15
To find the possible lengths for the third side of a triangle, we can use the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
If the first two sides measure 10 and 12, we can use the theorem to find the possible lengths for the third side.
10 + 12 > third side
22 > third side
So, the third side must be less than 22.
None of the given options (22, 24, 30, 15) are less than 22. Therefore, none of these options can be the length of the third side of the triangle.