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April 7th, 2017, 07:40 PM   #1
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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
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April 7th, 2017, 11:39 PM   #2
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April 8th, 2017, 04:13 AM   #3
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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 $\displaystyle \sin C = 1\Rightarrow C= \frac{\pi}{2}$
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April 8th, 2017, 10:38 AM   #4
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Quote:
Originally Posted by panky View Post
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.
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April 24th, 2017, 03:10 PM   #5
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Math Focus: Algebra
Range of inequalityworks there
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