Question

Find the values of x y and z

Answer 1

9514 1404 393

Answer:

• x = 18√2
• y = 18√3
• z = 36

Step-by-step explanation:

These "special" right triangles have side length ratios that it is useful to remember.

45°-45°-90° triangle

Sides have the ratios 1 : 1 : √2. That is, x is √2 times as long as the side length shown as 18.

  x = 18√2

30°-60°-90° triangle

Shortest to longest, sides have the ratios ...

  1 : √3 : 2

That is, y is √3 times the length of the side marked 18, and z is 2 times the length of the side marked 18.

  y = 18√3

  z = 2·18 = 36