Answer: Choice A)
x^2 + (x+2)^2 = (x+4)^2
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Consecutive even integers are whole numbers that are as close as possible and they are also even as well. One example of having 3 of them is {2, 4, 6}. Another example is {4,6,8} and another example is {6,8,10}. You start with any even integer you want, then count up by 2 each time to get the next values.
In general, if x is your first even number, then x+2 is the next number up. Eg: x = 10 so x+2 = 10+2 = 12. Then after that, x+4 is the third number (if x = 10, x+4 = 10+4 = 14)
a = x is the side length of the shorter leg
b = x+2 is the side length of the longer leg
c = x+4 is the side length of the hypotenuse
Use the pythagorean theorem to get
a^2 + b^2 = c^2
x^2 + (x+2)^2 = (x+4)^2
