This lesson includes 8 additional questions and 108 additional question variations for subscribers.

# Lesson Worksheet: Special Right Triangles Mathematics • 11th Grade

In this worksheet, we will practice finding lengths in 30-60-90-degree and in 45-45-90-degree triangles without trigonometry.

**Q6: **

Consider triangle .

Find, in the form 1 : , the ratio of the side lengths : .

- A1 : 2
- B1 :
- C1 : 3
- D1 : 1
- E1 :

Find, in the form 1 : , the ratio of the side lengths : .

- A1 : 1
- B1 : 2
- C1 : 3
- D1 :
- E1 :

**Q8: **

Given that , and is a median in , find the perimeter of .

**Q9: **

Find the lengths of and .

- A,
- B,
- C,
- D,

**Q10: **

Given a right triangle , in which angle measures , which of the following is equal to the length of the side opposite angle ?

- AThe length of the hypotenuse
- BOne-third the length of the hypotenuse
- CHalf the length of the side opposite the angle measuring
- DHalf the length of the hypotenuse