find a Pythagorean triplet whose one member is 15
can you please explain me the steps
Answers
18, 17 and 15 are the Pythagorean triplets which have one member 15
hope it helps
Step-by-step explanation:
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