Finding Area of Triangle Using Heron's Formula

In triangle ABC, the lengths of the sides are:

Side AB measures 10 cm, side BC measures 14 cm, and side AC measures 18 cm.

Determine the area of triangle ABC.

To find the area of a triangle given the lengths of all three sides, you can use Heron's formula. First, calculate the semi-perimeter, $s$, which is given by:

$$ s = \f\frac{AB + BC + AC}{2} $$

Then, the area $A$ can be computed using:

$$ A = \sqrt{s(s - AB)(s - BC)(s - AC)} $$