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QUESTION
In a 30-60-90 triangle, where the long leg is 12, what is the length of the short leg?
The length of short leg##=6.928##
##30^o##-##60^o##-##90^o## is a special kind of right-triangle in which sides exist in ratio ##SL:LL:H = 1:sqrt(3):2##
where ##SL=##Short Leg, ##LL=##Long Leg, ##H=##Hypotenuse
The side-lengths can also be calculated with these relations ##SL=1/2H## or ##SL=1/sqrt3LL## ##LL=sqrt3/2H## or ##LL=SLsqrt3##
Therefore, if ##LL=12##
##SL=1/sqrt3xx12=4sqrt3=6.928##
