Question

Circles with centres A, B and C touch each other externally. If
AB = 3 cm, BC = 3 cm, CA = 4 cm. then find the radü of each circle​

Answer 1

let radius of circle A=x and circle C= y

FROM FIGURE 2

radius of circleB =3-x and 3-y

so

$3 - x = 3 - y \\ x = y$

AC=4cm

$x + y = 4 \\ since \: x = y \\ x = y = 2$

so radius of circle A and C=2cm

Radius of circle B = 3-x

$3 - x \\ since \: x = 2 \\ so \\ 3 - x = 1$

so radius of B=1cm

ANSWER:

radius of circle A=2cm

radius of circle B=1cm

radius of circle C=2cm

hope it helps.......