In (bigtriangleup)XYZ, XY = 3cm, XZ = 5cm and YZ = 7cm. If the bisector…

In (bigtriangleup)XYZ, XY = 3cm, XZ = 5cm and YZ = 7cm. If the bisector of XYZ meets XZ at W, what is the length of XW?

Correct Answer: Option A

Explanation

Let XW = a, a :7
(frac{a}{5 – a}) = (frac{3}{7})
7a = 15 – 3a
10a = 15
a = (frac{15}{10})
= (frac{3}{2})
= 1.5cm