a+b+c = 20 ❶
S = 1/2 ac sinB = √3 /4 ac = 10√3
∴ ac = 40 ❷
b² = a²+c² - 2accosB = a²+c² - ac ❸
由❶❷❸解得
a= 5
b= 7
c= 8