Let a=b=c=x,
The height is (√3/2)x,
Area S=x×(√3/2)x÷2=4√3,
x? = 16, ∴x=4, which means b=4.
(2) when a < b < c,
a+c=2b .b=(a+c)/2。
By ∠ a+∠ b+∠ c = 180,
2∠B=∠A+∠C= 120 ,∴∠B=60
S=acsinB/2=4√3
ac= 16
Is there a maximum angle twice as large as the minimum angle?