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Worksheets

Pythag and Trig

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.
Identify the hypotenuse.
a)
x
b)
z
c)
w
2.
What leg is considered the hypotenuse?
a)
Any side
b)
the side opposite the smallest angle
c)
the side opposite the right angle
d)
the side opposite the shortest leg
3.

Identify the formula used to solve for the hypotenuse?

a)

a2+b2=c2

b)

a+b=c

c)

a2-b2=c2

d)

c-a=c

4.
solve for c
a)
7
b)
9
c)
4
d)
13
5.

Calculate the length of x

a)

5

b)

7

c)

8

d)

25

6.
What does SOH stand for
a)
hypotenuse over opposite
b)
adjacent over opposite
opposite over adjacent
c)
opposite over hypotenuse
d)
adjacent over adjacent
7.

In relation to the angle θ, label the side marked a in this right-angled triangle.

a)

Hypotenuse

b)

Adjacent

c)

Opposite

8.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
9.
What is the correct ratio?
a)
sin 40 = w/28
b)
cos 40 = w/28
c)
tan 40 = w/28
d)
sin 40 = 28/w
10.
Which ratio would you use to solve for x?
a)
Sine ratio
b)
Cosine ratio
c)
Tangent ratio
11.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
12.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
13.
Solve for x.
a)
50.7
b)
50.1
c)
60.7
d)
61.0
14.

Determine the value of x.

a)

35

b)

20

c)

8

d)

12

15.

Pythagoras theorem applies to right angled triangles only

a)

True

b)

False

16.

Use of TOA CAH SOH applies to right angled triangles only

a)

True

b)

False

17.

A ladder is 5 m long, and is leaning against a wall at a 65° angle to the ground. How far is the foot of the ladder from the wall? Give your answer correct to 2 decimal places.

a)

10.72 m

b)

2.11 m

c)

0.18 m

d)

4.53 m

18.

A ladder placed against a wall such that it reaches the top of the wall of height 6 m and the ladder is inclined at an angle of 60 degree. Find how far the ladder is from the foot of the wall.

a)

3.5 m

b)

6.9 m

c)

12 m

d)

10.4 m

19.

If tan θ\theta = 1.733, calculate the value of  θ\theta , correct to 3 decimal places.

a)

0.030

b)

0.031

c)

60.015

d)

60.016

20.

Label the sides of the following right-angled triangle with opposite, adjacent, and hypotenuse.

a)
b)
c)
d)