Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions

Any two of three circles with centers A ,B and C touches each externally, If the lengths of AB, BC and CA be 5 cm, 6 cm and 7 cm respectively,then

determine the radius of three circles ?



This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let radius of circle with center A = R1
radius of circle with radius B = R2
radius of circle with radius C = R3

R1 + R2 = AB =  5 cm
R2 + R3 = BC = 6 cm
R3 + R1 = CA = 7 cm

add all three above equations and divide by 2,
R1 + R2 +R3 = 9 cm

Subtract the 1st equation from this equation,  R3 = 4 cm
solving,  R2 = 2 cm      and R1 = 3 cm

0 0 0
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts