Determine the length of the third side of a triangle from the choices provided if the first two sides measure 10 and 12.(1 point) Responses 30 30 22 22 24 24 15

1 answer

To determine the length of the third side of a 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.

For the given sides measuring 10 and 12, we can compare them to the options provided:

10 + 12 = 22

Therefore, the length of the third side should be less than 22.

Among the choices provided, the length of the third side cannot be 30, 24, or 15 since they are greater than 22.

The only possible length remaining is 22, which satisfies the triangle inequality theorem.

Thus, the length of the third side is 22.