Question

three circles touch each other pairwise externally.If distance between their center is 5 cm 6cm 7cm find their radii​

Answer 1

Answer: see the tag image

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Step-by-step explanation:

Answer 2

Given,

Distance between centers of three circles are 5cm,6cm,7cm

To Find,

Radii of the circles.

Solution,

Let AB,BC and AC are three lines which are the distance between their centers.

AB=5cm,BC=6cm,AC=7cm

Lets take x,y,z as their radius.

So, x+y=5---(i)

y+z=6

⇒y=6-z

Substituting in(i),we get,

x+6-z=5

x-z=-1---(ii)

Also, x+z=7---(iii)

Now adding (ii) and (iii) we get,

2x=6⇒x=3,y=2,z=4

Hence, the radii of the circle is 2,3 and 4 cm.