CBSE Class 10 Answered
If the sum of the squares of a and b is the same as the square of c and if m < n, then for what value of k can the Pythagorean triples be generated with the following equations?
a = n2 + k , b = 2mn : c = (m2 + n2
1-:(a) - m2
2-:m2
3-:(-n2)
4-:m
Asked by rejaulhassan | 16 Aug, 2012, 11:16: PM
Expert Answer
Given that, the sum of the squares of a and b is the same as the square of c.
So, a2 + b2 = c2
(n2 + k)2 + (2mn)2 = (m2 + n2)2
n4 + k2 + 2n2k + 4m2n2 = m4 + n4 + 2m2n2
k2 - m4 + 2n2k + 2m2n2 = 0
Clearly, the above relation is satisfied when k = -m2
Answered by | 17 Aug, 2012, 10:12: AM
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