Question

if one member of a pythagorean triplet is 2m, then the other two members are a)m,m²+1 b)m²+1,m²-1 c)m²,m²-1 d)m²,m²+1​

Answer 1

Answer:

ANSWER

Let a=m

2

−1

b=2m

c=m

2

+1

using pythagoras theorem, a

2

+b

2

=c

2

So, (m

2

−1)

2

+4m

2

=(m

2

+1)

2

m

4

+1−2m

2

+4m

2

=(m

2

+1)

2

m

4

+2m

2

+1=(m

2

+1)

2

(m

2

+1)

2

=(m

2

+1)

2

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

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