Pythagorean Triplet with one number as 12
- Pythagorean triplet is a set of three positive integers a, b, and c, such that a^2 + b^2 = c^2.
- When one number in the Pythagorean triplet is 12, we can find the other two numbers using the Pythagorean theorem.
- Let's assume 12 is one of the numbers in the triplet, so a = 12.
- We can find the other two numbers b and c using the formula a^2 + b^2 = c^2.

Finding the other two numbers
- Substitute a = 12 into the Pythagorean theorem, we get 12^2 + b^2 = c^2.
- Simplifying further, 144 + b^2 = c^2.
- We can choose any value for b to find the corresponding value of c that satisfies the equation.

Example of a Pythagorean triplet with one number as 12
- Let's take b = 5, then 144 + 5^2 = c^2.
- This gives us 144 + 25 = c^2.
- Simplifying further, 169 = c^2.
- Therefore, the Pythagorean triplet with one number as 12 is {12, 5, 13} since 12^2 + 5^2 = 13^2.

Conclusion
- When one number in a Pythagorean triplet is 12, we can find the other two numbers by using the Pythagorean theorem.
- In the example provided, the Pythagorean triplet {12, 5, 13} satisfies the conditions of the Pythagorean theorem.