Pythagorean Triplet with Number 16

Explanation:

Pythagorean Triplets:
Pythagorean triplets are sets of three positive integers a, b, and c that satisfy the Pythagorean theorem a^2 + b^2 = c^2.

Number 16:
Let's find a Pythagorean triplet with the number 16.

Formula:
The general formula to generate Pythagorean triplets is:
a = m^2 - n^2
b = 2mn
c = m^2 + n^2
where m and n are any two positive integers with m > n.

Substitute Number 16:
Let's substitute 16 for c in the formula:
a^2 + b^2 = 16^2

Finding m and n:
We need to find m and n such that a, b, and c form a Pythagorean triplet with c = 16.

Calculations:
By trying different values of m and n, we find that when m = 4 and n = 3:
a = 4^2 - 3^2 = 7
b = 2 * 4 * 3 = 24
c = 4^2 + 3^2 = 25

Pythagorean Triplet with Number 16:
Therefore, the Pythagorean triplet with the number 16 is 7, 24, 25.
This is how we can find a Pythagorean triplet with the number 16 using the general formula and some calculations.