Triangle XYZ, X equals 27 cm, Y equals 79 cm and angle C equals 142Degrees. Find the length of Z, to the nearest centimeter.

Given:

In triangle XYZ, x = 27 cm, y = 79 cm and .

To find:

The length of z.

Solution:

In triangle XYZ, using the Law of cosine, we get

Putting the given values in the above formula, we get

Taking square root on both sides.

Approx the above value to the nearest number and side length cannot be negative. So,

Therefore, the length of z is about 102 cm.