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Question Number 136293 by mr W last updated on 20/Mar/21

t h e s i d e s o f a t r i a n g l e a r e 5, 7, 10 c m .

1) f i n d t h e l a r g e s t e q u i l a t e r a l t r i a n g l e

w h i c h c i r c u m s c r i b e s t h e g i v e n t r i a n g l e .

2) f i n d t h e s m a l l e s t e q u i l a t e r a l t r i a n g l e

w h i c h i n s c r i b e s t h e g i v e n t r i a n g l e .

Commented by mr W last updated on 20/Mar/21

Q 1 :

s_{m a x} = 2 \sqrt{29 + 4 \sqrt{22}} \approx 13.822 c m

Q 2 :

s_{m i n} = \frac{4 (29 - 4 \sqrt{22}) \sqrt{22 (29 + 4 \sqrt{22})}}{489} \approx 2.715 c m

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