Question

Also another answer choice, D 9.9

Answer 1

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

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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

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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.