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Right Triangles: Pythagorean Theorem & SOHCAHTOA

Total questions: 22

Worksheet time: 43mins

Name
Class
Date
1.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
2.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
3.
Find the length of the missing side. 
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
4.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
5.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
6.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
7.

a= 12, b= 35, c= ? Find c

a)

32

b)

37

c)

19

d)

20

8.

What is the name for side c?

a)

head

b)

body

c)

hippopotamus

d)

hypotenuse

9.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
10.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
11.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
12.

Find tangent of θ.

a)

8/12

b)

23/12

c)

8/23

d)

12/23

13.

What is the formula for Sine?

a)

Adjacent/Opposite

b)

Adjacent/Hypotenuse

c)

Opposite/Adjacent

d)

Opposite/Hypotenuse

14.

What is the formula for Cosine?

a)

Adjacent/Opposite

b)

Adjacent/Hypotenuse

c)

Opposite/Adjacent

d)

Opposite/Hypotenuse

15.
Use trig ratios (SOH CAH TOA) to solve for x 
a)
5.0
b)
6.1
c)
7.7
d)
6.4
16.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

17.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
18.
Set up the problem...
a)
sin X = 41/28
b)
tan X = 41/28
c)
cos X = 28/41
d)
sin X = 28/41
19.

What is the formula for Tangent?

a)

Adjacent/Opposite

b)

Adjacent/Hypotenuse

c)

Opposite/Adjacent

d)

Opposite/Hypotenuse

20.

What does the "O" in SOHCAHTOA stand for?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

d)

Opportunity

21.

What does the "A" in SOHCAHTOA stand for?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

d)

Academics

22.

What does the "H" in SOHCAHTOA stand for?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

d)

Hippopotamus