Area of Triangle Using Heron's Formula

Triangle XYZ has sides of lengths 7 units, 24 units, and 25 units. Calculate the area of triangle XYZ using Heron's formula.

Heron's formula states that the area of a triangle with sides of lengths $a$, $b$, and $c$ is given by:

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

where $s$ is the semi-perimeter, calculated as:

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