An acute-angled triangle

gabor7896 · #1 $Old$ October 28th, 2009, 12:55 PM

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

Opalg · #2 $Old$ October 28th, 2009, 02:08 PM

Quote:

Originally Posted by gabor7896 $View Post$

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

You will find some hints in this thread.