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Question Number 82042 by ajfour last updated on 17/Feb/20

Commented by ajfour last updated on 17/Feb/20

$F i n d r a t i o o f s i d e l e n g t h s o f$ $o u t e r e q u i l a t e r a l △ K L M t o$ $t h a t o f i n n e r e q u i l a t e r a l △ P Q R .$
Commented by mr W last updated on 19/Feb/20

$t h e m a x . o u t e r e q u i l a t e r a l i s$ $(s e e Q 60313)$ $l_{m a x} = \sqrt{\frac{2 (a^{2} + b^{2} + c^{2})}{3} + \frac{8 Δ}{\sqrt{3}}}$ $t h e m i n . i n n e r e q u i l a t e r a l i s$ $(s e e Q 82131)$ $l_{m i n} = \frac{2 \sqrt{2} Δ}{\sqrt{a^{2} + b^{2} + c^{2} + 4 \sqrt{3} Δ}}$
Commented by ajfour last updated on 17/Feb/20

$I n t e r m s o f a, b, c S i r, l e t s$ $d e t e r m i n e t h e t w o p o s s i b l e$ $r a t i o s . .$
Commented by ajfour last updated on 25/Feb/20

$Thanks sir, its a long story cut$ $short, up here .$
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