So I was playing around with Pythagorean Triplets and I decided to see what happens when certain sides are equal to 0.
For a² + b² = c²,
If a = 0,
Since (2m)² + (m² - 1)² = (m² + 1)²,
m = 0
Therefore, 0, -1, 1
Repeating the same process for b and c yields 2, 0, 2 and 2i, -2, 0, respectively. Is there someone who can check my process? Also I would love it if there was some way to use this to construct a triangle.