Which inequality statement describes the relationships between the sides of the triangle? a) xz > xy > yz b) xy > xz > yz c) xz > xy > yz d) yz > xz > xy

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.

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