Finding the Third Side of a Triangle

Triangle XYZ has two sides measuring 7 cm and 10 cm. If the angle between these two sides measures 45 degrees, what is the length of the third side?

You can use the Law of Cosines to solve this problem. The Law of Cosines states that for any triangle with sides $a$, $b$, and $c$, where $C$ is the angle opposite side $c$, the formula is given by:

$c^2 = a^2 + b^2 - 2ab \cdot \cos(C)$