Question Number 18546 by Tinkutara last updated on 24/Jul/17
$$\mathrm{In}\:\Delta{ABC},\:\mathrm{tan}\frac{{A}}{\mathrm{2}}\:+\:\mathrm{tan}\frac{{B}}{\mathrm{2}}\:+\:\mathrm{tan}\frac{{C}}{\mathrm{2}}\:=\:\sqrt{\mathrm{3}}, \\ $$$$\mathrm{then}\:\Delta\:\mathrm{must}\:\mathrm{be} \\ $$$$\left(\mathrm{1}\right)\:\mathrm{Equilateral} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{Isosceles} \\ $$$$\left(\mathrm{3}\right)\:\mathrm{Acute}\:\mathrm{angled} \\ $$
Commented by b.e.h.i.8.3.417@gmail.com last updated on 24/Jul/17
$${answer}\:\left(\mathrm{1}\right) \\ $$
Commented by Tinkutara last updated on 25/Jul/17
$$\mathrm{Thanks}\:\mathrm{Sir}! \\ $$