S_( Δ АВС)=(1/2)AB*BC*sin ∠ B=(1/2)*(4sqrt(3))*5*sin150 ° =10sqrt(3)*(1/2)=5sqrt(3)
S_( Δ АВС)=(1/2)AB*AC*sin ∠ A=(1/2)*8*(5sqrt(2))*sin135 ° =20sqrt(2)*(sqrt(2)/2)=20
4)
P=5+6+9=20
p=P/2=10
S=sqrt(10*(10-5)*(10-6)*(10-9))
S=sqrt(200)
S=10sqrt(2)
r=S/p=10sqrt(2)/10=sqrt(2)
R=a*b*c/4S=5*6*9/(4*10sqrt(2))=27sqrt(2)/8
P=7+4+9=20
p=P/2=10
S=sqrt(10*(10-7)*(10-4)*(10-9))
S=sqrt(180)
S=6sqrt(5)
r=S/p=6sqrt(5)/10
R=a*b*c/4S=7*4*9/(4*6sqrt(5))=21sqrt(5)/10