Question

Is 10, 24 and 26 form a Pythagorean Triplet?
please use the formula 2m,(m²-1),(m²+1)
please answer fast explain too. ​

Answer 1

Answer:

Solution

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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.