Help with 45-45-90 triangles problem: find value of x

[ashleynicolexox]

can someone PLEASE help me with this problem

:!: :!: :!: :!: :!: :!:

 

[stapel]

You've got all 45-degree triangles:

       *-------------*
     / |           /   \
  /    |   B     /       \
*  C   |      /             \
| \    |   /        A          \
|D   \ | /                       \
*------*---------------------------*
   x                4

...and you have learned the ratio of the lengths of the sides of 45-degree triangles. So what have you done so far?

For instance, you shouldn't have any trouble finding the length of the two shorter sides of the right-most triangle (triangle A), with hypotenuse 4. What value did you get? Then, since this value is also the hypotenuse of the second triangle from the right (triangle B), you can then find the lengths of the sides of that triangle. And so forth.

Please reply showing how far you have gotten. Thank you.

Eliz.