Question

Pls help me hurry I need help!!

Answer 1

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
`√(2)` will be 18. Knowing this, we can write out an equation:

u*
`√(2)` = 18

u =
`(18)/(√(2) )`

Multiply both sides by
`√(2)` in order to get rid of the root in the denominator:

u =
`(18*√(2))/(√(2) * √(2))`

u =
`(18*√(2) )/(2)`

u = 9
`√(2)`

If you'd like me to explain how I got to the answer any further, just ask!

- breezyツ