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?
A
1.5cm
B
2.5cm
C
3cm
D
4cm
E
None of the above
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #32584)