Question

Any two of three circles with centers A, B and C touches each other externally, If the lengths of AB, BC and CA be 5 cm, 6 cm and 7 cm respectively, then determine the radius of three circles ?

Answer 1

Let's name the circles A, B, C with radii p, q, r. Then you have, p+q=5, q+r=6, r+p=7. Solving these you get, p=3, q=2, r=4.