Special Right Triangles Worksheet

Exercises 1-6 refer to the 30-60-90 triangle. Using the given information, find the indicated length.

1. AB=14; BC=

2. BC=7; AB=

3. BC=8; AC=

4. AB=16; AC=

5. AC=; BC=

6. AC=; AB=

 

Exercises 7-12 refer to the 45-45-90 triangle. Using the given information, find the indicated length.

7. XY=7; XZ=

8. YZ=10; XZ=

9. XZ=; YZ=

10. XZ=10 ; XY=

11. YZ=; XZ=

12. XZ=12; YZ=

 

13. The length of the hypotenuse of a 30-60-90 triangle is 20. What is the length of the shorter leg?

 

 

14. A ladder leaning against a wall makes a 60 angle with the ground. The base of the ladder is 3 m from the building. How high above the ground is the top of the ladder?

 

 

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