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Let the three points A(0,0), B(a,0), C(b.0)form a triangle
if it is a right angled triangle at A then by Pythagoras theorem
 AB^{2} + AC^{2} = BC^{2} 

 a^{2} + b^{2} =  \sqrt{ a^{2}+ b^{2}  } ^{2}
 a^{2} + b^{2}=a^{2} + b^{2}
                                                   hence proved

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