Question

ABC is right angled triangle right angled at B with AB=12cmBC=5cm a circle is inscribed in this triangle find the radius of circle

Answer 1

Since ABC is a right angled triangle,
∴AB²+BC²=AC²
 12²+5²=AC²
 144+25=AC²
⇒AC²=169
  AC=√169=13 cm
 Perimeter of the triangle=12+5+13=30
 Circumference of the circle=30
∴2πr=30
2×22/7×r=30
            r=   30×7/2×22
            r=4.8.. cm       
HOPE THIS HELPS YOU!!