Question

Find the value of x. If your answer is not an integer, leave it in simplest radical form

Answer 1

(5
`√(2)`)/2

Explanation:

sin = opp/hyp

sin(45) = x/5

`√(2)`/2 = x/5

x = (5
`√(2)`)/2

Answer 2

• C.
  `5√(2)/2`

Explanation:

Property of a 45° right triangle:

• c = a
  `√(2)`, where c- hypotenuse, a - one of legs

Apply to the given:

• 5 = x
  `√(2)`
• x =
  `5/√(2)` or
• x =
  `5√(2)/2`

Correct choice is C