Question

1. Three circles touch each
other externally. The distance
between their centres is 5 cm,
6 cm and 7 cm. Find the radii of
the circles.​

Answer 1

Answer:

ANSWER

AB=x+y=7–eq.1

BC=y+z=8–eq.2

CA=z+x=9–eq.3

From eq.3,

z=9−x

Substituting this in eq.2

y+9–x=8

⟹x–y=1−eq.4

Solving eq.1 and eq.4

x=4

z=4−1=3

y=9−4=5

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