Write a pythagorean triplet whose one member is 15
Asked by admin @ in Math viewed by 281 People
Find a Pythagorean triplet whose one member is 15
Asked by admin @ in Math viewed by 281 People
Find a Pythagorean triplet whose one member is 15
Answered by admin @
Pythagorean Triplets are 8 , 15 and 17.
Step-by-step explanation:
Given number is 15.
To find: Other Pythagorean triplet.
We know that Pythagorean triplets are in the form of
2m , m² - 1 and m² + 1
First we find value of m by putting it equal to each term
take,
2m = 15 ⇒ m = 7.5 ( m can not be a decimal )
m² - 1 = 15 ⇒ m² = 16 ⇒ m = ±4
m² + 1 = 15 = m² = 14 ( No whole number for m² = 14 )
So, Value of m = +4 , -4 but -4 is not a whole number
⇒ m = 4
Now Pythagorean triplets = 2m , m² - 1 , m² + 1
= 2(4) , 4² - 1 , 4² + 1
= 8 , 16 - 1 , 16 + 1
= 8 , 15 , 17
Therefore, Pythagorean Triplets are 8 , 15 and 17.
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