An acute-angled triangle has sides a, b, c and area t. The sides satisfy the equality abc=a+b+c. How can I prove, that

$\displaystyle 1< t \leq \frac{3 \cdot \sqrt{3}}{4}$

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- Oct 28th 2009, 11:55 AMgabor7896An acute-angled triangle
An acute-angled triangle has sides a, b, c and area t. The sides satisfy the equality abc=a+b+c. How can I prove, that

$\displaystyle 1< t \leq \frac{3 \cdot \sqrt{3}}{4}$ - Oct 28th 2009, 01:08 PMOpalg
You will find some hints in this thread.