Question

if the sum of the altitudes of an equilateral triangle is 36root 3cm,then its perimeter is ...

Answer 1

6. root 3 according to me.

Answer 2

$if \: \: \: a \: \: is \: the \: side \: of \: equilateral \: \\ triangle \: \: its \: altitude \: h = \frac{ \sqrt{3}a }{2}$
$given \: 3h = 36 \sqrt{3} \\ i.e. \: 3 \frac{ \sqrt{3} a}{2} = 36 \sqrt{3} \\ thus \: \: perimeter\: 3a = 72$