# An acute-angled triangle

• Oct 28th 2009, 11:55 AM
gabor7896
An 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
$1< t \leq \frac{3 \cdot \sqrt{3}}{4}$
• Oct 28th 2009, 01:08 PM
Opalg
Quote:

Originally Posted by gabor7896
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.