If a, b, c are the sides of a right triangle where c is the hypotenuse, then prove that radius - Maths - Circles

Question

If a, b, c are the sides of a right triangle where c is the
hypotenuse, then prove that radius r of the circle touches the
sides of the triangle is given by r = a+b+c/2

Manish Bharti · Accepted Answer

If a, b, c are the sides of a right triangle where c is the hypotenuse, then prove that radius r of the circle touches the sides of the triangle is given by r = a+b+c/2