In this worksheet, we will practice finding lengths in 30-60-90-degree triangles.
Q1:
Find the value of in the given figure.
Q2:
Find the length of in the figure to two decimal places.
Q5:
Find the length of .
Q6:
Consider triangle .
Find, in the form 1 : , the ratio of the side lengths : .
- A1 : 1
- B1 : 3
- C1 :
- D1 : 2
- E1 :
Find, in the form 1 : , the ratio of the side lengths : .
- A1 :
- B1 :
- C1 : 1
- D1 : 2
- E1 : 3
Q7:
In triangle , the length of is .
Find, in terms of , the length of .
- A
- B
- C
- D
- E
Find, in terms of , the length of .
- A
- B
- C
- D
- E
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 ?
- A half the length of the side opposite to the angle measuring
- B the length of the hypotenuse
- C one-third the length of the hypotenuse
- D half the length of the hypotenuse