# Worksheet: Special Right Triangles

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-angled triangle in which angle measures , which of the following is equal to the length of the side opposite to angle ?

- Athe length of the hypotenuse
- Bone-third the length of the hypotenuse
- Chalf the length of the side opposite to the angle measuring
- Dhalf the length of the hypotenuse

**Q13: **

Given that is a rectangle, find the length of .

**Q14: **

If the perimeter of a rhombus is 88 cm, and the measure of one of its angles is , find its area approximated to the nearest integer.

**Q16: **

Use the information in the figure to determine the area of the square.