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Pythagorean Theorem Review

Total questions: 25

Worksheet time: 2hrs 7mins

Name
Class
Date
1.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
2.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
3.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

4.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
5.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
a)
Yes
b)
No
6.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
7.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
8.
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)
32 miles
c)
37 miles
d)
40 miles
9.
A 15 ft ladder is leaning against a building. The base of the ladder is 9 ft from the building. How high up does the ladder reach?
a)
12
b)
15
c)
9
d)
10
10.
 A hot air balloon is tied to the ground by a 200yd rope as shown in the picture below. The balloon is floating 20 yds west of where the rope is tied to the ground. About how high in the air is the hot air balloon?
a)
205
b)
199
c)
220
d)
400
11.
what is the missing length?
a)
50
b)
60
c)
70
d)
80
12.

What is the formula for finding the hypotenuse?

a)

a2+b2=c2

b)

a+b=c

c)

a-b=c

d)

c-a=c

13.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

14.

Given a right triangle with legs a=20 and b=48, determine the length of the hypotenuse, c

a)

52

b)

1904

c)

square root of 1904

d)

2704

15.

Is a triangle with side lengths 90, 111, and 56 a right triangle?

a)

Yes

b)

No

16.
Find the missing side 
A = ?
B = 4
C = 5
a)
A = 3
b)
A = 6
c)
A = 8
d)
A = 2
17.
What is the height of the cone? 
a)
14 cm
b)
8 cm
c)
12 cm
d)
13.9 cm
18.

Which equation reflects the right triangle shown?

a)

x2 + 142 = 202

b)

142 + 202 = x2

c)

142 – 202 = x2

d)

x2 – 142 = 202

19.

Who is is?

a)

some man

b)

Sponge Bob

c)

Pythagoras

20.
How far does the catcher throw the ball from home plate to 2nd base? 
a)
63.6 ft
b)
16,129 ft
c)
13.4 ft
d)
127.3 ft
21.
Round to the nearest hundredth.
a)
5.57 
b)
10.63
c)
5.32
d)
9
22.

Find the length of the missing side. Round your answer to the nearest 10th.

a)

12.6 in

b)

12.0 in

c)
d)
23.

What is the diagonal (or longest side) of a right triangle called?

a)

square

b)

arm

c)

leg

d)

hypotenuse

24.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
25.

Pythagoras started a secret brotherhood called __________.

a)

Math Geeks

b)

The Pythagoreans

c)

Pupils of Pythagoras

d)

Mu Alpha Theta

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