若△ABC的三边a,b,c,满足a^2+b^2+C^2+50=6a+8b+10c,判断△ABC的形状

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若△ABC的三边a,b,c,满足a^2+b^2+C^2+50=6a+8b+10c,判断△ABC的形状
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若△ABC的三边a,b,c,满足a^2+b^2+C^2+50=6a+8b+10c,判断△ABC的形状
若△ABC的三边a,b,c,满足a^2+b^2+C^2+50=6a+8b+10c,判断△ABC的形状

若△ABC的三边a,b,c,满足a^2+b^2+C^2+50=6a+8b+10c,判断△ABC的形状
a^2-6a+9+b^2-8b+16+c^2-10c+25=0
(a-3)^2+(b-4)^2+(c-5)^2=0
a=3b=4c=5
三角形是直角三角形