Respuesta :

Answer:

  • 18 units

Step-by-step explanation:

Use the property of 45°x45°x90° and 30°x60°x90° right triangles.

Ratio of sides:

  • 45°x45°x90° triangle 1 : 1 : √2
  • 30°x60°x90° triangle 1 : √3 : 2

Find the longer leg of the second triangle:

  • 6√6*√3 = 6√18 = 6*3√2 = 18√2

Find the value of x, of the first triangle:

  • x = 18√2/√2 = 18
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