Find-the-maximum-area-of-a-triangle-whose-vertices-lie-on-a-regular-hexagon-of-unit-area-

Question Number 111284 by Aina Samuel Temidayo last updated on 03/Sep/20

Find the maximum area of a triangle

whose vertices lie on a regular

hexagon of unit area .

Commented by mr W last updated on 03/Sep/20

Commented by mr W last updated on 03/Sep/20

m a x . t r i a n g l e = \frac{h e x a g o n}{2} = \frac{1}{2}

Commented by Aina Samuel Temidayo last updated on 03/Sep/20

Just explain please .

Commented by Aina Samuel Temidayo last updated on 03/Sep/20

What about a well explanatory

solution ? Thanks .

Commented by Her_Majesty last updated on 03/Sep/20

w h a t i s i t y o u d o n o t u n d e r s t a n d ? ? ?

Commented by Aina Samuel Temidayo last updated on 03/Sep/20

{Isn}^{'} t there a proof ? How do we know

definitely that the area of that

triangle is half of that of the hexagon ?

Commented by mr W last updated on 03/Sep/20

i j u s t {d o n}^{'} t w a n t t o w a s t e m y t i m e f o r

o b v i o u s t h i n g s .

Commented by Her_Majesty last updated on 03/Sep/20

{i t}^{'} s p l a i n t o s e e t h a t t h e r e d l i n e s c u t t h e

s m a l l t r i a n g l e s i n t w o, {i s n}^{'} t i t ?

Commented by Aina Samuel Temidayo last updated on 03/Sep/20

Not really . We {can}^{'} t just assume that .

Commented by Aina Samuel Temidayo last updated on 03/Sep/20

How can it be proven and solved

mathematically ?

Commented by Her_Majesty last updated on 03/Sep/20

t w o e q u i l a t e r a l s q u a r e s f o r m a r h o m b u s

t h e d i a g o n a l s e a c h b i s e c t t h e r h o m b u s

t h e r e d l i n e i s t h e l o n g e r d i a g o n a l

w e {d o n}^{'} t n e e d m o r e