a circle of radius r is inscribed in a right triangle of sides 5cm,12cm,and 13cm.r
r = (a+b-c)/2 = 2
To find the radius r of the inscribed circle in a right triangle with sides 5cm, 12cm, and 13cm, we can use the following formula:
r = (a + b - c) / 2
where a, b, and c are the lengths of the sides of the triangle, and c is the hypotenuse.
In this case, a = 5cm, b = 12cm, and c = 13cm.
Substituting the values into the formula:
r = (5 + 12 - 13) / 2
= 4 / 2
= 2
Therefore, the radius of the inscribed circle is 2cm.