CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Three circles touch each other externally. Find the radii of the circles if the sides of the triangle formed by joining the centres are 7 cm, 8 cm and 9 cm respectively.

Open in App
Solution

AB=x+y=7eq.1

BC=y+z=8eq.2

CA=z+x=9eq.3

From eq.3,

z=9x

Substituting this in eq.2

y+9x=8

xy=1eq.4

Solving eq.1 and eq.4

x=4

z=41=3

y=94=5


856005_564055_ans_76f2159189fe4348b554652791e630bd.jpg

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Two Circles Touching Internally and Externally
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon