由正弦定理:
AB/SINC=AC/SINB
60/SINC=50/SIN30
SINC=3/5 COSC=根号下[1-(SINC)^2]=4/5或-4/5 SINB=SIN30=1/2 COSB=COS30=(根号3)/2
]在三角形中,SINA=SIN(B+C)=SINB*COSC+COSB*SINC
SINA=SIN(B+C)=1/2*(+-4/5)+(根号3)/2*(3/5)
=(3根号3+-4)/10
S三角形面积=(1/2)*ab*ac*sina
=(1/2)*60*50*(3根号3+-4)/10
=150*(3根号3+-4)