The given triangle is a right-angled triangle with sides 6, 8, and 10 units. The inradius (r) of a right-angled triangle can be calculated using the formula:
where a, b, and c are the sides of the triangle.
In this case, a = 6, b = 8, and c = 10.
So,
Therefore, the radius of the incircle is 2 units.