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Pythagorean Theorem Review Sheet

Total questions: 17

Worksheet time: 12mins

Name
Class
Date
1.

Which segment represents the hypotenuse of the triangle shown?

a)
b)
c)
2.

Three triangles are drawn in rectangle PQRS. Which of the following segments is a hypotenuse of one of these triangles?

a)
b)
c)
d)
3.

Find the missing side. Round to the nearest hundredth if necessary.

a)

10.9 inches

b)

12 inches

c)

13 inches

d)

13.6 inches

4.

Find the missing side. Round to the nearest hundredth if necessary.

a)

13.61 cm

b)

14.28 cm

c)

20 cm

d)

24.41 cm

5.

Find the missing side. Round to the nearest hundredth if necessary.

a)

25

b)

54.54

c)

60.15

d)

65

6.

Find the missing side. Round to the nearest hundredth if necessary.

a)

3.17

b)

4.63

c)

5.92

d)

6.08

7.

Do the three side lengths shown represent a right triangle?

a)

Yes

b)

No

8.

Do the three side lengths shown represent a right triangle?

a)

Yes

b)

No

9.

Which group of three side lengths could form a right triangle?

a)

5ft, 12ft, 13ft

b)

7ft, 11ft, 14ft

c)

15ft, 20ft, 22ft

d)

18ft, 34ft, 39ft

10.

A ladder is leaning up against a house. The foot of the ladder is 2.5 feet from the house. The ladder is 8 feet long. How far up the side of the house does it reach? (Hint: draw a picture!)

a)

2.5 ft

b)

4.28 ft

c)

7.56 ft

d)

8.38 ft

11.

Mr. Malone plans to construct a walkway through his rectangular garden, as shown in the drawing. What is the approximate value of w? Round to the nearest whole number.

a)

5 ft

b)

7 ft

c)

14.87 ft

d)

15 ft

12.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
13.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
14.
Side a on a right triangle is ALWAYS the longest side.
a)
true
b)
false
15.
The Pythagorean Theorem is
a2 + b+ c2
a)
false
b)
true
16.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
17.

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