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
Based on the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore, if the first two sides measure 10 and 12, the third side must be less than the sum of those two sides.
10 + 12 = 22
Therefore, the length of the third side must be less than 22.
The only choice less than 22 is 15.
Therefore, the length of the third side is 15.
Answer: 15