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Question Number 79694 by mr W last updated on 27/Jan/20

Commented by mr W last updated on 27/Jan/20

$T h r e e c i r c l e s w i t h r a d i i α, β, γ h a v e$ $t h e i r c e n t r e s a t t h e v e r t e x e s o f a$ $t r i a n g l e w i t h s i d e s a, b, c .$ $F i n d t h e r a d i u s R o f t h e c i r c l e w h i c h$ $t o u c h e s t h e t h r e e c i r c l e s f r o m o u t s i d e$ $a n d t h e r a d i u s r o f t h e c i r c l e w h i c h$ $t o u c h e s t h e t h r e e c i r c l e s f r o m i n s i d e .$ $(α + β ⩽ c, β + γ ⩽ a, γ + α ⩽ b)$
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