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.
