In △ABC, there are:
A+C = 180 B,B+C = 180 A
∵ A, B and C do geometric series.
∴b? =ac, then c=b? /a
From the sine theorem, we get:
Let a/sinA=b/sinB=c/sinC=k,
sinA=a/k,sinB=b/k
you∶c < a+b
∴b? /a