Two circle with radii a and b touch each other externally Let c be the radius of a circle - Maths - Circles

Question

Two circle with radii a and b touch each other externally Let c be
the radius of a circle which touches these two circles as well as a
common tangent to the two circles Then, prove that

1/roota + 1/rootb = 1/rootc

Pooja Khanna · Accepted Answer

Refer the link to answer:

https://www meritnation
com/ask-answer/question/with-radii-a-and-b-touch-each-other-externally-let-c-be/circles/7056067

Two circle with radii a and b touch each other externally. Let c be the radius of a circle which touches these two circles as well as a common tangent to the two circles. Then, prove that 1/roota + 1/rootb = 1/rootc

Two circle with radii a and b touch each other externally. Let c be the radius of a circle which touches these two circles as well as a common tangent to the two circles. Then, prove that

1/roota + 1/rootb = 1/rootc