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 April 7th, 2017, 07:40 PM #1 Senior Member   Joined: Jul 2011 Posts: 395 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 7th, 2017, 11:39 PM #2 Global Moderator   Joined: Dec 2006 Posts: 17,722 Thanks: 1359 1 Thanks from panky
 April 8th, 2017, 04:13 AM #3 Senior Member   Joined: Jul 2011 Posts: 395 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, 10:38 AM   #4
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Quote:
 Originally Posted by panky 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 $\displaystyle \sin C = 1\Rightarrow C= \frac{\pi}{2}$
so what are all these questions?

if they are brain teasers they belong in the lounge.

 April 24th, 2017, 03:10 PM #5 Newbie   Joined: Apr 2017 From: durban Posts: 10 Thanks: 0 Math Focus: Algebra Range of inequalityworks there

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