Finding the Length of Side in Triangle Using Law of Cosines

In triangle PQR, the lengths of sides PQ and PR are 10 cm and 14 cm, respectively. The angle between these two sides, angle QPR, measures 45 degrees. Calculate the length of side QR using the Law of Cosines.

The Law of Cosines states that for any triangle with sides of lengths $a$, $b$, and $c$, opposite to angles $A$, $B$, and $C$ respectively, the formula is:

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