Use the Pythagorean identity, Latex: (x^2-y^2)^2+(2xy)^2=(x^2+y^2)^2\textsf{,} to create a Pythagorean triple. Follow these steps: Choose two numbers and identify which is replacing Latex: x x and which is replacing Latex: y\textsf{.} How did you know which number to use for Latex: x x and for Latex: y\textsf{?} Explain how to find a Pythagorean triple using those numbers. Explain why at least one leg of the triangle that the Pythagorean triple represents must have an even-numbered length. Number your responses from 1 to 4 so your instructor can tell which question you're responding to. For example: X=6 Y=4 Plug into the formula: (6^2 – 4^2)^2 + (2*6*4)^2 = (6^2+4^2)^2 (36-16)^2 + (48)^2 = (36+16)^2 (20)^2 +(48)^2 = (52)^2 400 +2304=2704 My Pythgorean Triple: 20, 48, 52