April 7th, 2017, 08:40 PM  #1 
Senior Member Joined: Jul 2011 Posts: 398 Thanks: 15  maximum area of triangle
The maximum area of a triangle whose sides $a,b,c$ satisfy $0\leq a \leq1;1\leq b \leq2;2\leq c \leq3$ is

April 8th, 2017, 12:39 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 18,250 Thanks: 1439 
1

April 8th, 2017, 05:13 AM  #3 
Senior Member Joined: Jul 2011 Posts: 398 Thanks: 15 
Thanks moderator got it. Using Area of Triangle $$\triangle = \frac{1}{2}ab\sin C\leq \frac{1}{2}ab \leq 1$$ where $a\leq 1\;\; ,b \leq 2$ and $\displaystyle \sin C = 1\Rightarrow C= \frac{\pi}{2}$ 
April 8th, 2017, 11:38 AM  #4  
Senior Member Joined: Sep 2015 From: USA Posts: 1,656 Thanks: 842  Quote:
if they are brain teasers they belong in the lounge.  
April 24th, 2017, 04:10 PM  #5 
Newbie Joined: Apr 2017 From: durban Posts: 10 Thanks: 0 Math Focus: Algebra 
Range of inequalityworks there


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