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Pythagorean Theorem Study Guide

Total questions: 35

Worksheet time: 2hrs 27mins

Name
Class
Date
1.
Which is closest to the missing side?
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
2.
Which is the Pythagorean theorem?
a)
√(x-x)²-(y-y)²
b)
(y-y)/(x-x)
c)
a²+b²=c²
d)
a + b = c
3.
a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?
a)
yes 
b)
no
4.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

5.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
6.

Find the length of the missing side

a)

48

b)

108

c)

83.6

d)

72

7.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

8.

Find the missing side of the triangle

a)

A

b)

B

c)

C

d)

D

9.

Find the missing side of the triangle

a)

A

b)

B

c)

C

d)

D

10.

Find the missing side. Leave in simplest radical form.

a)

A

b)

B

c)

C

d)

D

11.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
12.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
13.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
14.

What is the formula used to solve for the hypotenuse?

a)

a2 + b2 = c2

b)

a + b = c

c)

a - b = c

d)

c - a = c

15.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
16.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10
17.

Sides a and b are called legs.

a)

true

b)

false

18.

What is the missing side length?

a)

8.8

b)

7.9

c)

6.4

d)

10

19.

What is the final step in solving this work for c?

a2 + b2 = c2

32 + 42 = c2

9 + 16 = c2

25 = c2

a)

Divide both sides by 2

b)

Take the square root of both sides

20.

What is the length of the missing side?

a)

x = 4

b)

x = 8

c)

x = 10

d)

x = 16

21.

Which equation can be used to solve for "x"?

a)

152 – x2 = 212

b)

x2 – 152 = 212

c)

152 + 212 = x2

d)

212 – 152 = x2

22.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
23.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
42 miles
c)
37 miles
d)
40 miles
24.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
25.
Find the missing side
a)
37
b)
17.66
c)
6
d)
312
26.
Do these 3 side lengths form a right triangle?
13, 80, and 81?
a)
yes
b)
no
27.
If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?
a)
9
b)
40
c)
41
28.

Based on the math shown:

a)

This triangle IS a right triangle.

b)

This Triangle is NOT a right triangle.

c)

We can not determine if this is a right triangle.

d)

The Hypotenuse is 40000

29.

Based on this image.

a)

This is not a right triangle because 4+ 10 is not 14.

b)

This is not a right triangle because 4+ 25 is not 49.

c)

This is a right triangle because 2 + 5 = 7.

d)

We can not determine if the triangle is a right triangle.

30.
solve for c
a)
7
b)
9
c)
4
d)
13
31.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
32.
a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?
a)
yes 
b)
no
33.
If three sides of a right triangle are 50, 40, and 30, which side is the hypotenuse?
a)
50
b)
40
c)
30
34.
If three sides of a right triangle are 5, 3, and 4, which side is the hypotenuse?
a)
5
b)
3
c)
4
35.
Do these 3 side lengths form a right triangle?
13, 80, and 81?
a)
yes
b)
no

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