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2 years ago

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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