phythagoren triplet whose smallest no is 20
Answers
Answered by
5
Step-by-step explanation:
Answer
For every natural number m>2,(2m,m
2
−1,m
2
+1) is a pythagorean triplet and the smallest number is 2m
Given:2m=20⇒m=
2
20
=10
⇒m
2
−1=10
2
−1=100−1=99
and m
2
+1=10
2
+1=100+1=101
∴ The triplet is (20,99,101)
Answered by
0
Answer:
20
99 , 101
Step-by-step explanation:
For every natural number m>2,(2m,m
2
−1,m
2
+1) is a pythagorean triplet and the smallest number is 2m
Given:2m=20⇒m=
2
20
=10
⇒m
2
−1=10
2
−1=100−1=99
and m
2
+1=10
2
+1=100+1=101
∴ The triplet is (20,99,101)
Similar questions
But we have for every number m>1, we have (2m,m
2
−1,m
2
+1) as a Pythagorean triplet
2m=20
m=20/2=10
Then m
2
=100
m
2
−1=100−1=99
m
2
+1=100+1=101
Therefore the Pythagorean triple is =(2m,m
2
−1,m
2
+1)=(20,99,101)