Let $\alpha$, $\beta$ and $\gamma$ be the angles of an acute angled triangle. Then the quantity $\tan\alpha\tan\beta\tan\gamma$ (a) Can have any real value (b) Is $\leq 3\sqrt{3}$ (c) Is $\geq 3\sqrt{3}$ (d) None of the above.
(c) Is $\geq 3\sqrt{3}$
Let $\alpha$, $\beta$ and $\gamma$ be the angles of an acute angled triangle. Then the quantity $\tan\alpha\tan\beta\tan\gamma$\\
(a) Can have any real value\\
(b) Is $\leq 3\sqrt{3}$\\
(c) Is $\geq 3\sqrt{3}$\\
(d) None of the above.