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Forum URL: http://www.cut-the-knot.org/cgi-bin/dcforum/forumctk.cgi
Forum Name: This and that
Topic ID: 774
Message ID: 2
#2, RE: Triangle's area rate of change
Posted by JE on Jul-23-07 at 10:12 AM
In response to message #1
>The area does not solely depend on the angle ABC.
if you put a constraint and let the segment AC constant, there's a straight relationship between β and the altitude. If the altitude decreases, β increases. Can this relation be formalized?

>Area(ABC) <= (b/2)2 × cot(β/2) / 2,
can you give more insights on how you got this?

Thanks! I really appreciate it ;)