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 24 24 22 22 30
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.
Therefore, the length of the third side must be greater than the difference of the other two sides and less than the sum of the other two sides.
For this problem, the first two sides measure 10 and 12.
So, the length of the third side must be greater than |10-12| = 2 and less than 10+12 = 22.
The only choice that falls within this range is 15.
Thus, the length of the third side is 15.