Question

write the pythagorean triplets one of whose member is 10​

Answer 1

Answer:

Phythagorean Triplet ( 6,8,10)

Pythagorean Triplet:

Three natural numbers m,n and p are said to form a Phythagorean Triplet (m,n,p), if m²+n²=p²

For every natural number m>1,

we have (2m, m²-1 , m²+1) as a Phythagorean Triplet.

Here,

m²+1 = 10

=> m² = 10 - 1

=> m² = 9

=> m = 3

Therefore,

2m = 2×3 = 6

m²-1 = 3² - 1 = 9 -1 = 8

m²+1 = 3² + 1 = 9 +1 = 10

Phythagorean Triplet ( 6,8,10)

6² + 8² = 10²