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Byju's Answer
Standard VIII
Mathematics
Finding Pythagorean Triplets for Any Given Number
Find the pyth...
Question
Find the pythagorean triplet whose smallest number is
16
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Solution
For every natural number
m
>
2
,
(
2
m
,
m
2
−
1
,
m
2
+
1
)
is a pythagorean triplet and the smallest number is
2
m
Given:
2
m
=
16
⇒
m
=
16
2
=
8
⇒
m
2
−
1
=
8
2
−
1
=
64
−
1
=
63
and
m
2
+
1
=
8
2
+
1
=
64
+
1
=
65
∴
The triplet is
(
16
,
63
,
65
)
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