30 60 90 right triangle
so
ratio of short leg : long leg : hypo = a : a√3 : 2a
if short leg = 10
long leg = 10√3 and hypo = 2 x 10 = 20
so a = 10√3, c + d = 20
also small triangle on right is 30 60 90 right triangle
hypo = 10, short leg d = 5 and long leg b = 5√3
if d = 5 then c = 20 - 5 = 15
answer
a = 10√3
b = 5√3
c = 15
d = 5