Question

In a right triangle abc,right-angled at b,bc=12cm and ab=5cm.the radius of the circle inscribed in the inscribed in the triangle(in cm) is

Answer 1

2 centimetres is the radius of the circle inscribed in the triangle

Answer 2

Right angle triangle ABC , with ∠B = 90°.

BC = 12 cm.         AB = 5 cm
AC² = BC² + AB² = 169    => AC =13 cm

Area of ΔABC = 1/2 * AB* BC = 30 cm² 
Hence,    s * r = Area = 30 cm²
              (AB+BC+CA)/2 * r = 30
               r = 30 * 2/(12+5+13) = 2 cm