Radius of Inscribed Circle in Right Triangle

A circle is inscribed in a right triangle with legs of lengths 6 and 8. The radius of the inscribed circle can be determined using the area and the semi-perimeter of the triangle. Calculate the radius of the inscribed circle of this triangle.

The area of a triangle can be found using the formula: $$A = \f\frac{1}{2} \times \text{base} \times \text{height}$$ and the semi-perimeter can be calculated as: $$s = \f\frac{a + b + c}{2}$$ where $a$ and $b$ are the legs of the triangle, and $c$ is the hypotenuse. The radius $r$ of the inscribed circle can be expressed as: $$r = \f\frac{A}{s}$$.