Question

why does the formula of finding the pythagoras triplet from one number (2m, m²-1, m²+1) work

Answer 1

Answer:

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Answer 2

☆ Solution

》Let a=m2−1b=2mc=m2+1

using pythagoras theorem, a2+b2=c2

So, (m2−1)2+4m2=(m2+1)2

m4+1−2m2+4m2=(m2+1)2m4+2m2+1=(m2+1)2(m2+1)2=(m2+1)2

Since LHS=RHS , we can say that a,b,c always form pythagorean triplet.