Area Calculation of Triangle Using Heron's Formula

Consider a triangle ABC where the lengths of sides AB, AC, and BC are given as follows:

AB = 10 units

AC = 8 units

BC = 6 units

Using Heron's formula, calculate the area of triangle ABC. Heron’s formula states that the area $A$ of a triangle with side lengths $a$, $b$, and $c$ can be calculated using the formula:

$$ A = oldsymbol{ ext{sqrt}(s(s-a)(s-b)(s-c))} $$

where $s$ is the semi-perimeter given by:

$$ s =\frac{a+b+c}{2} $$

Find the area of triangle ABC.