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 15 15 22 22 24 24 30
Using the triangle inequality theorem, the length of the third side must be greater than the difference between the 2 given sides, and less than the sum of the 2 given sides.
So the length of the third side must be greater than 12 - 10 = 2, and less than 12 + 10 = 22.
Therefore, the length of the third side can be either 15 or 22.
So the correct answer is "15 22".