Question

Pythagorean triplet of 21...​

Answer 1

Answer:

• A "Pythagorean Triple" is a set of positive integers, a, b and c that fits the rule:   a² + b² = c²

Pythagorean triplets of 21:

• (20, 21, 29)

• (21, 28, 35)

• (21, 72,  75)

• (21, 220, 221)

Answer 2

The Pythagorean triplet of 21 is (21, 220, 221).

Given:

A number 21

To Find:

We are required to find the Pythagorean triplet of 21.

Solution:

A "Pythagorean Triplet" is a set of positive integers, a, b, and c that fits the rule: a² + b² = c² and it is mentioned as (a,b,c).

Let us consider 'x' to be the number

If “x” is odd, then the Pythagorean triplet = (x, (x²/2)-0.5, (x²/2)+0.5) -(1)

x = 21

Substitute the value of x in equation(1) we get

Pythagorean triplet = (21, (21²/2)-0.5, (21²/2)+0.5)

Pythagorean triplet = (21, (441/2)-0.5, (441/2)+0.5)

Pythagorean triplet = (21, 220.5-0.5, 220.5+0.5)

Pythagorean triplet = (21, 220, 221)

Therefore, The Pythagorean triplet of 21 is (21, 220, 221).

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