Answer:
8sqrt(3)
Step-by-step explanation:
30-60-90 truangle ratio of lengths of sides:
1 : sqrt(3) : 2
24/d = sqrt(3)/1
d * sqrt(3) = 24
d = 24/sqrt(3)
d = 24/sqrt(3) * sqrt(3)/sqrt(3)
d = 24sqrt(3)/3
d =