Let
be right-angled, with
, & let its circumcircle be
. Let
be the circle which touches sides
&
& circle
(internally). Show that radius of
is given by
,
& find the ratio :
where is the radius of the incircle of .
Note : You can use the formula for directly, but prove it if you want an extra challenge!
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If you hadn't told the formula it would have a harder question. Cause finding the radius of incirle is easy. Formula for incircle is a r e a / s e m i p e r i m e t e r