Find the missing side lengths. Leave your answers as radicals in simplest form.

x = 2, y = 2

Step-by-step explanation:

Since this is a 45° 45° 90° triangle, the legs of the triangle will be the same length. The hypotenuse is the length of a leg multiplied by √2. Therefore, we can divide by √2 to get the leg length, giving us 2.

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus