Answer:
We have a right triangle with an angle of 45 degrees. The side lengths are x, y, and 2√2.
In a 45-45-90 triangle, the two legs are congruent, so we can set x = y.
Using the Pythagorean theorem, we can relate the side lengths of the triangle:
x^2 + x^2 = (2√2)^2
2x^2 = 8
x^2 = 4
x = √4
x = 2
Therefore, the missing side lengths are:
x = 2
y = 2
So, the side lengths of the triangle are 2, 2, and 2√2.
Explanation: