Question 37
Triangles and QuadrilateralsIn XYZ, Ŷ = Ẑ = 30° and XZ = 3cm. Find YZ.
- A.√3/2 cm
- B.3√3/2 cm
- C.3√3cm
- D.2√3cm
Show the answer and explanation
Answer: C (3√3cm)
Explanation
Angle X = 120°. By the sine rule YZ/sin 120° = 3/sin 30°, so YZ = 3 × (√3/2) ÷ ½ = 3√3cm.