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swat32
4 years ago
10

Please, I need help I'm way behind.

Mathematics
1 answer:
gregori [183]4 years ago
3 0

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  
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