Write a Pythagorean triplet whose one member is 26
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26
Answer:
Step-by-step explanation:
Triplets are in the form 2m, m^2-1, m^2+1
2m=26, So, m=26/2 =13
m^2-1= 13^2-1=169-1=168
m^2+1=13^2+1=169+1=170
Triplets are: 26, 168, 170
Answered by
5
The required Pythagorean triplet is 26, 168, 170.
Given,
A number 26.
To Find,
A Pythagorean triplet whose one member is 26.
Solution,
Since we know that the Pythagorean triplets are in the form 2m, m²-1, m²+1
Now, it is given that one of the members of the triplet is 26.
So, we will compare it with 2m.
2m=26, So, m=26/2 =13
Now, substituting the value of m in m²-1.
m²-1= 13²-1=169-1=168
Now, substituting the value of m in m²+1.
m²+1=13²+1=169+1=170
Hence, the required Pythagorean triplet is 26, 168, 170.
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