Question

3) Two circles with centres A and B are touching externally. A circle with centre C touches both the
circies externally. Suppose AB = 3 cm. BC= 3 cm and CA=4 cm. Find the radii of the circles.
temnt any one gobopestions from the following:
3​

Answer 1

Answer:

Given below is the visual representation of the above scenario. Here r1,r2,r3 denotes the radii of the circles.

We know AB =BC=3 cm and AC=4 cm.

so we can say that,

AB=3=r1+r2−eqn1

BC=3=r2+r3−eqn2

AC=4=r1+r3−eqn3

adding eqn1 , eqn2andeqn3weget,

2(r1+r2+r3)=10

r1+r2+r3=5−eqn4

substituting eqn4ineqn1,eqn2andeqn3weget,

r1=2cm,r2=1cm,r3=2cm