In a triangle XYZ, if < XYZ is 60º, XY = 3cm, and YZ = 4cm, calculate the length of the side XZ.
A
√23cm
B
√13cm
C
2√5cm
D
2√3cm
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
(XZ)\(^2\) = 3\(^2\) + 4\(^2\) - 2 x 3 x 4 cos60º
= 25 - 24\(\frac{1}{2}\)
XZ = \(\sqrt{13}\)cm
Source: Myschool Past Questions Archive (Record #30851)