Inscribed Circle Radius in Triangle

Consider a circle with an inscribed triangle ABC. The triangle has sides measuring 7 cm, 8 cm, and 9 cm. The radius of the inscribed circle (r) is given by the formula:

$r = \f\frac{A}{s}$

where $A$ is the area of the triangle and $s$ is the semi-perimeter. Calculate the radius of the inscribed circle.

To find the area $A$ of triangle ABC, use Heron's formula:

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

where $s = \f\frac{a+b+c}{2}$, and $a$, $b$, and $c$ are the lengths of the sides of the triangle.