(sin^2A+sin^2B)sin(A-B)=(sin^2A-sin^2B)sin(A+B)
Sin^2A[sin(A+B)-sin(A-B)]=sin^2B[sin(A-B)+sin(A+B)]
sinAsinB(2sinAcosA-2sinBcosB)=0
sinAsinB(sin2A-sin2B)=0
A=B 或A+B=90
等腰或直角三角形
(sin^2A+sin^2B)sin(A-B)=(sin^2A-sin^2B)sin(A+B)
Sin^2A[sin(A+B)-sin(A-B)]=sin^2B[sin(A-B)+sin(A+B)]
sinAsinB(2sinAcosA-2sinBcosB)=0
sinAsinB(sin2A-sin2B)=0
A=B 或A+B=90
等腰或直角三角形