Triangle Side Calculation Using Law of Cosines

In a triangle, the lengths of two sides are 7 cm and 24 cm. The angle between these two sides is an obtuse angle. Calculate the length of the third side of the triangle.

To find the length of the third side, apply the Law of Cosines, which is given by the formula:

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

where a and b are the lengths of the sides surrounding angle C, and c is the length of the side opposite angle C.