Apply the Triangle Inequality Theorem to find the range of measures for the third side of a triangle with the first two sides equal to 24 and 30.(1 point)
A. −6<s<54
B. −6<s<6
C. 6<s<54
D. 6>s>54
To apply the Triangle Inequality Theorem, you need to determine the range of values for the third side of a triangle based on the lengths of the first two sides.
According to 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.
In this case, the first two sides are 24 and 30.
So, the range of measures for the third side (s) can be found by:
30 - 24 < s < 30 + 24
6 < s < 54
Therefore, the correct answer is C. 6 < s < 54.