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)Responses30302424222215
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 remaining side.
In this case, the first two sides measure 10 and 12.
To determine the possible lengths of the third side, we can add and subtract the lengths of the two given sides from each other:
10 + 12 = 22
12 - 10 = 2
Therefore, the possible lengths of the third side are between 2 and 22.
Based on the given choices, the closest number to the possible lengths of the third side is 15. Therefore, the length of the third side is most likely 15.