Question 21
Triangles and QuadrilateralsIn ΔXYZ, XY = 3cm, XZ = 5cm and YZ = 7cm. If the bisector of XYZ meets XZ at W, what is the length of XW?
- A.1.5cm
- B.2.5cm
- C.3cm
- D.4cm
- E.None of the above.
Show the answer and explanation
Answer: A (1.5cm)
Explanation
The angle bisector divides XZ in the ratio of the adjacent sides: XW : WZ = 3 : 7. So XW = 3/10 × 5 = 1.5cm.