Answer:
26.0
Step-by-step explanation:
Angle X is the largest angle in the triangle, so is opposite the longest side. That is, YZ must be longer than XY, so the only viable answer choice is ...
26.0
___
You can figure the length from the Law of Cosines:
YZ^2 = XY^2 + XZ^2 -2(XY)(XZ)cos(X) = 449.44 +96.04 -415.52cos(108°)
YZ = √(673.88) ≈ 25.96
YZ ≈ 26.0
_____
Your sense of number relationships can solve a lot of problems, particularly multiple-choice problems. It pays to understand how angle measures and triangle side measures are related to each other.
