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Worksheets

Pythagoras and SOHCAHTOA

Total questions: 20

Worksheet time: 31mins

Name
Class
Date
1.
What kind of triangles does the Pythagorean Theorem work with?
a)
Right
b)
Left
c)
Isosceles
d)
Equilateral
2.

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

3.
Identify the hypotenuse.
a)
x
b)
z
c)
w
4.

Calculate the length of x?

a)

5

b)

7

c)

8

d)

25

5.

Calculate the length of x?

a)

5.7

b)

10.6

c)

20

d)

400

6.
solve for c
a)
7
b)
9
c)
4
d)
13
7.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
8.
Find x.
a)
35
b)
20
c)
8
d)
12
9.
a)

11

b)

12

c)

9.8

d)

11.5

10.

Calculate

a)

8.3

b)

4

c)

3

d)

3.2

11.

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

a)

Hypotenuse

b)

Adjacent

c)

Opposite

12.

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

a)

Hypotenuse

b)

Adjacent

c)

Opposite

13.

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

a)

Hypotenuse

b)

Adjacent

c)

Opposite

14.

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

a)

Hypotenuse

b)

Adjacent

c)

Opposite

15.

Which side of the triangle is adjacent to angle R?

a)

QP

b)

QR

c)

RP

16.
a)
9.28
b)
2.87
c)
2.97
d)
8.76
17.
a)
44.55
b)
22.69
c)
41.66
d)
38.49
18.
a)
6.09
b)
18.77
c)
5.52
d)
7.68
19.
a)
34.64
b)
40.00
c)
23.09
d)
38.23
20.

Which Trig function would you use to solve this problem?

a)

Sine

b)

Cosine

c)

Tangent

d)

Pythagorean Theorem