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Standard X
Mathematics
Pythagorean Triplets and Its Algebraic Patterns
Write a Pytha...
Question
Write a Pythagorean triplet whose one member is 6
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Solution
As we know
2
m
,
m
2
+
1
and
m
2
−
1
from a Pythagorean triplet for any number , m>1
Let us assume 2m=6
Therefore, m =3
And
m
2
+
1
=
3
2
+
1
=
9
+
1
=
10
And
m
2
−
1
=
3
2
−
1
=
9
−
1
=
8
Test :
6
2
+
8
2
=
36
+
64
=
100
=
10
2
Hence the triplet is 6,8, and 10 Answer
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a)
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