A) 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)

24
22
30
15

1 answer

To determine the length of the third side of a triangle, you 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.

Using the given measurements, the sum of the lengths of the first two sides is 10 + 12 = 22.

Since the sum of the lengths of the first two sides (22) is not greater than the third side, we can conclude that a triangle with side lengths of 10, 12, and 15 is not possible.

Therefore, the correct answer is not provided in the choices given.