C. 9 square roots of 2
To answer this question, it's super important that you understand the ratio of sides for special triangles. This triangle in particular, a 45-45-90 triangle, has a ratio between the legs and hypotenuse of 1:1:
Since we are given the value of the hypotenuse, we know that the value of the two sides multiplied by will be 18. Knowing this, we can write out an equation:
u* = 18
u =
<u>Multiply both sides by </u><u> in order to get rid of the root in the denominator:</u>
u =
u =
u = 9
If you'd like me to explain how I got to the answer any further, just ask!
- breezyツ