Answer:
2
Explanation:
45°-45°-90° triangles are Special Right Triangles. There are some super helpful shortcuts you can learn for a 45°-45°-90° triangle.
The two legs of the triangle are always the same. The longest side, the hypotenuse, is:
hypot = leg•sqrt2
The leg in your problem is sqrt2.
You are asked to find the hypotenuse, k.
hypot = leg•sqrt2
k = leg•sqrt2
k = sqrt2•sqrt2
k = 2
k is 2. Don't be sidetracked by the direction that says "Write your answer in simplest radical form". If there was a radical in your answer, we would simplify it, but there isn't...it's just plain 2.