Answer:
[tex]\frac{18√2}{√3}[/tex]
Step-by-step explanation:
- The lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3.
- The lengths of the sides of a 45-45-90 triangle are in the ratio 1 : 1 : √2
- We can get the length of the longest side of the bottom triangle is 9×2÷√3 = [tex]\frac{18}{√3}[/tex]
- 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 [tex]\frac{18}{√3}[/tex]x√2
