Question 978669

remember the ratio
{{{hypotenuse : long_ leg : short_ leg = 2 : sqrt(3) : 1}}}
or 

{{{hypotenuse / 2 = long_ leg / sqrt(3) = short _leg / 1}}}

also 
{{{long _leg = (sqrt(3)* hypotenuse) / 2}}}
and 
{{{short _leg = hypotenuse / 2}}}


1. If the short side {{{11}}}, the length of the hypotenuse will be
{{{short _leg = hypotenuse / 2}}}
{{{2*short _leg = hypotenuse }}}
{{{2*11 = hypotenuse }}}
{{{22 = hypotenuse }}}

so, answer choices is:

b) {{{22}}}


2. If the short side of a 30-60-90 triangle is equal to {{{11}}}, the length of the long leg will be

{{{long _leg = (sqrt(3)* 22) / 2}}}

{{{long _leg = sqrt(3)* 11 }}}

{{{long _leg = 11sqrt(3) }}}

so, answer is:
c) {{{11sqrt(3)}}}