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Question Number 165722 by mr W last updated on 06/Feb/22

Commented by mr W last updated on 08/Feb/22

$F i n d t h e m a x i m u m a r e a o f a t r i a n g l e$ $w h o s e v e r t i c e s l i e o n t h r e e c i r c l e s$ $w i t h r a d i i a, b, c r e s p e c t i v e l y w h i c h$ $t o u c h e a c h o t h e r .$ $[Q 36270 r e p o s t e d]$
	Answered by aleks041103 last updated on 07/Feb/22

	$f o r a f i x e d p a n d q t h e a r e a i s m a x$ $w h e n t h e h e i g h t i s m a x . t h i s i s a c h i e v e d$ $w h e n R C ⊥ P Q .$ $A n a l o g o u s l y f o r t h e o t h e r s i d e s$ $a n d t h e r e f o r e$ $P A ⊥ R Q$ $Q B ⊥ P R$ $R C ⊥ P Q$
	Commented by mr W last updated on 08/Feb/22

	$y e s s i r! j u s t a s i a l s o s a i d i n Q 36270 .$ $b u t w e s t i l l {h a v e n}^{'} t g o t a s a t i s f a c t o r y$ $s o l u t i o n w i t h c o n c r e t e r e s u l t . p l e a s e$ $a l s o g i v e a t r y s i r!$
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