Question

In triangle, STU, ST = 52, and TU = 39. What is the range of values for the length third side? With decent explanation please.

A)-13 < SU < 13
B) -13 < SU < 91
C) 13 < SU < 52 (It's not this one, I promise you all it is not)
D) 13 < SU < 91

Answer 1

D

Explanation:

given 2 sides of a triangle then the third side SU is in the interval

difference of 2 known sides < SU < sum of 2 known sides , that is

52 - 39 < SU < 52 + 39

13 < SU < 91