To determine the length of the third side of a triangle, you 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.
In this case, the first two sides measure 10 and 12. To find the possible range for the length of the third side, we can add and subtract these values to the other side:
10 + 12 = 22
12 - 10 = 2
Therefore, the possible range for the length of the third side is between 2 and 22.
Looking at the given choices, the only length within this range is 15. Therefore, the length of the third side is 15.
Determine the length of the third side of a triangle from the choices provided if the first two sides measure 10 and 12.
Responses
22
22
30
30
15
15
24
1 answer