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Phoenix [80]
2 years ago
14

Find the values of x y and z

Mathematics
1 answer:
andrey2020 [161]2 years ago
4 0

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.

<u>45°-45°-90° triangle</u>

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

<u>30°-60°-90° triangle</u>

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

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