Three circle touch each other externally. A triangle is formed when the centres of these circles are joined together. Find the radii of the circles, if the sides of the triangle formed are 6 cm, 8 cm and 9 cm
Three circle touches each other externally
Δ ABC is formed by joining the centres, A, B and C of the circles.
AB = 6 cm, AC = 8 cm and BC = 9 cm
Let radii of the circles having centres A, B and C
be r1,r2,r3 respectively
Adding r1+r3+r3+r2+r1+r2=6+8+9 cm2(r2+r2+r3)=23
r1=2.5 cmr2=2.5 and r3=3.5 cm