Question 955345
The triangle is a 30-60-90 triangle, so we already know
the sides are in the ratio of {{{1:sqrt(3):2}}} but to show work:
A=30 degree angle , side opposite=a
B=60 degree angle, side opposite=b
C=90 degree angle, side opposite=c=hypotenuse
sin(30)=opposite/hypotenuse=a/c
sin(30)c=a
c=a/sin(30) a=1,so:
c=1/0.5=2  When a=1, c=2
{{{a^2+b^2=c^2)))
{{{b^2=c^2-a^2}}}
{{{b=sqrt(c^2-a^2)}}}
{{{b=sqrt(2^2-1^2)}}}
{{{b=sqrt(3)}}} 
So,if{{{a=x}}},then {{{b=sqrt(3)x}}}, and {{{c=2x}}}.