Write a Pythagorean Triplet whose smallest number is 5.
Answers
Step-by-step explanation:
Take the integer that is immediately before and after that number i.e. (N2/2 -0.5) and (N2/2 +0.5). Example: Take number N=3. On squaring the number, we get 9. Therefore, the triplet is 3, 4, 5.
Given : Pythagorean Triplet whose smallest number is 5.
To Find : Pythagorean Triplet
Solution:
A Pythagorean triplet ( a , b , c)
where c² = a² + b² , c > a , b
a , b and c are the sides of a right angle triangle where c is the hypotenuse
a Pythagorean Triplet whose smallest number is 5.
is ( 5 , 12 , 13)
5² = 25
12² = 144
13² = 169
25 + 144 = 169
5² +12² = 13²
( 5 , 12 , 13) is a a Pythagorean Triplet whose smallest number is 5.
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