Question

Δ XYZ, shown below, is a 30° - 60° - 90° triangle.

8). Which leg is the shorter leg?
9). In a 30° - 60° - 90° triangle, the shorter leg is always opposite the _____° angle.
10). Which leg is the longer leg?
11). In a 30° - 60° - 90° triangle, the longer leg is always opposite the ____° angle.

12). If YZ = 5, then XY = ____ and XZ = _______.
13). If YZ = 6, then XY = ____ and XZ = _______.
14). If XY = 8, then YZ = _____ and XZ = _______.
15). If XY = 6, then YZ = _____ and XZ = _______.

Answer 1

8). YZ

9). 30°

10). XY

11). 90°

12). XY=10 and XZ=5√3

13). XY=12 and XZ=6√3

14). YZ=4 and XZ=4√3

15). YZ=3 and XZ=3√3