Question

Please, I need help I'm way behind.

What is the value of x in the diagram below?

degrees

rads

units

Answer 1

`(18√2)/(√3)`

Explanation:

1. The lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3.
2. The lengths of the sides of a 45-45-90 triangle are in the ratio 1 : 1 : √2
3. We can get the length of the longest side of the bottom triangle is 9×2÷√3 =
   `(18)/(√3)`
4. And based on the theory shown on the 2nd step, we can get x (the length of the longest side of the upper triangle) is
   `(18)/(√3)`x√2