x^2 +y^2 +z^2 -6x-8y-10z+50=0
[x^2-6x+9]+[y^2-8y+16]+[z^2-10z+25]=0
[x-3]^2+[y-4]^2+[z-5]^2=0
x-3=0===>x=3
y-4=0===>y=4
z-5=0===>z=5
3^2+4^4=5^2
所以三角形是直角三角形
x^2 +y^2 +z^2 -6x-8y-10z+50=0
[x^2-6x+9]+[y^2-8y+16]+[z^2-10z+25]=0
[x-3]^2+[y-4]^2+[z-5]^2=0
x-3=0===>x=3
y-4=0===>y=4
z-5=0===>z=5
3^2+4^4=5^2
所以三角形是直角三角形