The three vertices of an equilateral triangle are at distances 1, 2, and 3 from a line.
Find all possible areas of this triangle.
(In reply to
re: Thoughts by Jer)
I extended the precision further, far enough for Wolfram Alpha to identify these:
output Wolfram Alpha rationalized
1.7320508075689 sqrt(3)=~1.732050807568877 sqrt(3)
7.5055534994564 13/sqrt(3) =~ 7.505553499465134 (13/3)*sqrt(3)
10.9696551145984 19/sqrt(3)=~10.96965511460288 (19/3)*sqrt(3)
12.1243556529836 7 sqrt(3)=~12.1243556529821410 7*sqrt(3)
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Posted by Charlie
on 2024-04-01 16:12:02 |
re(2): Thoughts
