Question

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

Answer 1

Answer:

12

Step-by-step explanation:

A,B,C is triangle of the circle radii.....(given). AB=3cm,BC=3cm,CA=4cm......(1). (AB)^2+(BC)^2=2(CA)^2

Answer 2

Answer:

let radius of circle with centre A be x cm

let radius of circle with centre B be y cm

and radius of circle with centre C be z cm

According to given conditions

x+y= 3

y+z=3

x+z=4

adding this equations

2x+2y+2z=10

dividing above equation by 2

x+y+z= 5

but x+y =3

hence 3+z=5

z=5-3

z=2

x+z=4

x+2=4

x=2

x+y=3

2+y=3

y=1

radius of circle with centre A is 2 cm

radius of circle with centre B is 1 cm

radius of circle with centre C is 2 cm