The range of values for the length third side is (13 < SU < 52) Which is correct option (C).
What is inequality?
Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.
In triangle Δ STU,
Side ST = 52,
And Side TU = 39.
Let missing side is smallest than other sides,
According to the sides of a triangle rule asserts that,
The sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. The sum of the lengths of the two shortest sides TU and Side SU. That length is greater than the length of the longest side ST.
So, Side ST < Side SU + Side TU
⇒ 52 < Side SU + 39
⇒ 52 - 39 < Side SU
⇒ 13 < Side SU
Since, Side ST is largest side So Side SU can not be greater than 52
Therefore, the range of values for the length side SU :
⇒ 13 < Side SU < 55
Hence, the range of values for the length third side is (13 < SU < 52).
Learn more about inequalities here :
brainly.com/question/20383699
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