Question

Which inequality statement describes the relationships between the sides of the triangle?

Answer 1

D) YZ > XZ > XY. Just took the quiz myself.

Answer 2

Answer:

The correct inequality is YZ > XZ > XY

Step-by-step explanation:

Given the triangle XYZ

∠Y=60°, ∠Z=35°

we have to choose the inequality statement describes the relationships between the sides of the triangle

First we have to find the angle ∠X

By angle sum property of triangle

∠X+∠Y+∠Z=180°

∠X+60°+35°=180°

∠X=180-60-35=85°

By theorem angle opposite the longer side of triangle will be larger than the angle opposite the shorter side.

As ∠X > ∠Y > ∠Z

⇒ YZ > XZ > XY

Hence, option D is correct.