0Circles with centers A,B and C touch each other externally. If AB = 3 cm, BC = 3cm, CA = 4 cm, then find the radii of each circle.
Let radius of circle with centre A be r1 cm.
Let radius of circle with centre B be r2 cm.
Let radius of circle with centre C be r3 cm.
Circles touch externally.
Distance between centres = sum of radii
r1+r2=3
r2+r3=3
r3+r1=4
Adding
2r1+2r2+2r3= 10
r1+r2+r3= 5
3+r3=5
r3=2
r2+3=3
r2+2=3
r2=1
r1+1=3
r1=2
Ans
r1=2,cm
r2=1cm,
r3=2cm
