9514 1404 393
Answer:
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