200 sats \ 3 replies \ @Scroogey 30 Oct \ on: [Daily puzzle] Reuleaux triangle science
The inscribed equilateral triangle has sides of length 6.
The perpendicular has length 5, because Pythagoras .
The extension of the perpendicular must be 1, because .
Platon says the sides of an equilateral triangle's half have ratio .
Therefore, the radius of the inscribed circle is .
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1 sat \ 2 replies \ @south_korea_ln OP 30 Oct
I think there is an error in your Pythagoras calculation...
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0 sats \ 1 reply \ @Scroogey 30 Oct
Doh, that makes it much less elegant :) Thanks for checking and the hint.
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1 sat \ 0 replies \ @south_korea_ln OP 30 Oct
I didn't check further, but this small difference on the perpendicular probably explains the small mismatch at the end with the value given by @didiplaywell.
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