In a 30-60-90 triangle the shorter leg has length of 8sqrt3 m. What is the length of the other leg (L) and the hypotenuse?

height = ##24##
hypotenuse = ##16sqrt(3)##
In the diagram above the shortest length is represented by the variable ##a##. The other lengths are multiples of ##a##.
If ##a=8sqrt(3)##:
##asqrt(3)##
##=(8sqrt(3))sqrt(3)##
##=24##
##2a##
##=2(8sqrt(3))##
##=16sqrt(3)##
##:.## the height is ##24## and the hypotenuse is ##16sqrt(3)##.