A sphere having a radius of 6 cm rests on 3 horizontal wires forming a plane triangle whose sides are 5 cm, 12 cm and 13 cm. What is the height of the top of the sphere above the plane of the wires?
2. The triangle is a right triangle because
3. Let A denote the area of the triangle. Then the radius of the incircle is calculated by:
With your values you'll get
4. The height of the sphere above the triangle is with
With your values you'll get: