Question

Given, two circles with line segments AB and CD touching the circles at distinct points.
Prove that AB = CD​

Answer 1

two circles with line segments AB and CD touching the circles at distinct points then AD=AB a eqal to its external point from point to a circle are equal AB = CD

Given,

=Now, AD and CD are tangent to the circle centre o from the external point D

=AD=CD

=Tangent drawn from an external point to a circle are equal - 1

AB are AD are the tangent to the circle with centre of from the external point A

So

=AD=AB tangent drawn from an external point to a circle is equal to =AB=CD

Hence proved,,