sin^2a+sin^2b=sin^2c 则△ABC为直角/等腰直角/等边/等腰?
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sin^2a+sin^2b=sin^2c则△ABC为直角/等腰直角/等边/等腰?sin^2a+sin^2b=sin^2c则△ABC为直角/等腰直角/等边/等腰?sin^2a+sin^2b=sin^2c
sin^2a+sin^2b=sin^2c 则△ABC为直角/等腰直角/等边/等腰?
sin^2a+sin^2b=sin^2c 则△ABC为
直角/等腰直角/等边/等腰?
sin^2a+sin^2b=sin^2c 则△ABC为直角/等腰直角/等边/等腰?
(sina)²+(sinb)²=(sinc)²
=[sin(180°-a-b)]²
=[sin(a+b)]²
=(sinacosb+cosasinb)²
(sina)²+(sinb)²=(sina)²(cosb)²+(cosa)²(sinb)²
(sina)²(cosb)²+(cosa)²(sinb)²-(sina)²-(sinb)²=0
(sina)²[(cosb)²-1]+(sinb)²[(cosa)²-1]=0
(sina)²(sinb)²=0
sina=0或sinb=0
a=90°或b=90°
三角形为直角三角形.
3 在三角形ABC中,已知(a2+b2)sin(A-B)=(a2-b2)sin(A+B) 求证:ABC是等腰或直角三角形(a^2+b^2)sin(A-B)=(a^2-b^2)sin(A+B),(sin^A+sin^B)sin(A-B)=(sin^A-sin^B)sin(A+B) sin^A*(sin(A+B)-sin(A-B))=sin^B*(sin(A-B)+sin(A+B)) sin^A*2c
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