sinB=sin(A+C)/2
∵B=180º-(A+C) ∴B/2=90º-(A+C)/2
∴sin(A+C)/2=cosB/2
∵sinB=2sinB/2cosB/2
∴2sinB/2cosB/2=cosB/2
∴cosB/2(sinB/2-1/2)=0
∵0
sinB=sin(A+C)/2
∵B=180º-(A+C) ∴B/2=90º-(A+C)/2
∴sin(A+C)/2=cosB/2
∵sinB=2sinB/2cosB/2
∴2sinB/2cosB/2=cosB/2
∴cosB/2(sinB/2-1/2)=0
∵0