Question

Please, I need help I'm way behind.

Answer 1

Answer:

$\frac{18√2}{√3}$

Step-by-step 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 = $\frac{18}{√3}$
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 $\frac{18}{√3}$x√2