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# In a triangle XYZ, if < ZYZ is 60, XY = 3cm and YZ = 4cm, calculate the lengt...

### Question

In a triangle XYZ, if < ZYZ is 60, XY = 3cm and YZ = 4cm, calculate the length of the sides XZ.

A) √23cm

B) √13cm

C) 2√5cm

D) 2√3cm

### Explanation:

(XZ)2 = 32 + 42 - 2 x 3 x 4 cos60o
= 25 - 24$$\frac{1}{2}$$
XZ = √13cm

## Dicussion (1)

• (XZ)2 = 32 + 42 - 2 x 3 x 4 cos60o
= 25 - 24$$\frac{1}{2}$$
XZ = √13cm