why do we call 2m , m^2-1 , m^2+1 a pythagoren triplet . explain
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Answered by
3
Answer:
Step-by-step explanation:
let me modify your question, it should be m^2-1, m^2+1 and 2m to be the Pythagorean triplet
for the Pythagorean triplet of three numbers a, b, c they must satisfy the condition of Pythagoras theorem
Now, if you consider the three sides to be m^2-1, m^2+1 and 2m, and consider a and b to be m^2-1 and 2m respectively,
square and add them,
(m^2-1)^2 + (2m)^2
= (m^2+1)^2,
which satisfies the theorem.
Thus, m^2-1, m^2+1 and 2m form Pythagorean triplet.
Answered by
7
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