Answer:
2m,m2–1,m2+1 represent the Pythagorean triplet for any natural number m.
Let 2m=6⇒m=3
m2–1=(3)2–1=9–1=8
and m2+1=(3)2+1=9+1=10
Hence (6,8,10) is a Pythagorean triplet.
Alternative Method:
(6)2+(8)2=36+64=100=(10)2
⇒(6,8,10) is a Pythagorean triplet.
Step-by-step explanation:
phythogoras triplets = a2+b2=c2
6 square=36
8 square =64
64+36=100
100=10square
yes 6,8 and 10 are phythogoran triplets
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Answers & Comments
Answer:
2m,m2–1,m2+1 represent the Pythagorean triplet for any natural number m.
Let 2m=6⇒m=3
m2–1=(3)2–1=9–1=8
and m2+1=(3)2+1=9+1=10
Hence (6,8,10) is a Pythagorean triplet.
Alternative Method:
(6)2+(8)2=36+64=100=(10)2
⇒(6,8,10) is a Pythagorean triplet.
Verified answer
Step-by-step explanation:
phythogoras triplets = a2+b2=c2
6 square=36
8 square =64
64+36=100
100=10square
yes 6,8 and 10 are phythogoran triplets