Question

Write a pytagorean triplet whose smallest member is 8

Answer 1

Answer:

Pythagoras triplet means set of three numbers which follow the Pythagoras theorem.

e.g , Let A = {a, b, c} is a Pythagoras triplet. When a² = b² + c², or b²=c²+a², or c² =b²+a² .

How to find triplet .

step1:- Let 2n= 8 , then,n = 4

step2:- largest number of triplet = 4n+1 . From above n =4 put it here,

Largest number of triplet = 4×4+1 = 17

step3:- middle number of triplet= 4n-1 .now put n = 4 , then,Middle number of triplet= 4×4-1 = 15

Hence, Pythagoras triplet is { 8, 15 , 17} .

You can check it .

8² +15² = 17² , follow Pythagoras theorem.

Answer 2

Pythagorean triplets are given as

2m , m ²- 1 and m² + 1

here

=> 2m = 8

=> m = 4

m² + 1 = 4² + 1 = 17

m² - 1 = 4² - 1 = 16

there the triplets are 8 , 16 , and 17