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Review for Unit 9 The Pythagorean Theorem

Total questions: 29

Worksheet time: 1hrs 27mins

Name
Class
Date
1.

Which side of a right triangle has the longest length?

a)

Leg 1

b)

Leg 2

c)

Hypotenuse

d)

Right Angle

2.

Which 3 lengths would in fact make a right triangle?

a)

4, 3, 5

b)

4, 3, 7

c)

8, 5, 6

3.

True or False: The 13, 12 and 5 units make a right triangle.

a)

True

b)

False

4.

Determine if 51, 24, 45 would make a right triangle.

a)

No

b)

Yes

5.

What do we call the side across from the right angle?

a)

Leg

b)

a

c)

Hypotenuse

d)

Obtuse

6.

Which is the formula used for the Pythagorean Theorem?

a)

a2+b2+c2

b)

a+b=c

c)

a2+c2=b2

d)

a2+b2=c2

7.

If the sides of a right triangle are 40, 50, and 30, which sides are the legs?

a)

40 and 50

b)

50 and 30

c)

40 and 30

d)

30, 40, and 50

8.

a=6, b=8, and c=10

Is this a right triangle?

a)

yes

b)

no

9.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
10.
 John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school? 
a)
14 blocks
b)
12 blocks
c)
10 blocks
d)
8.5 blocks
11.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
12.
In a computer catalog, a computer monitor is listed as being 27 inches. This distance is the diagonal distance across the screen. If the screen measures 15 inches in height, what is the actual width of the screen to the nearest inch? 
a)
22 in
b)
23 in
c)
24 in
d)
25 in
13.
Which of the following sentences would belong in the proof that describes this image?
a)
The sum of the areas of the two smaller squares is equal to the area of the large square.
b)
The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
c)
The difference of the areas of the two smaller squares is equal to the area of the large square.
d)
The differences of the side lengths of the two smaller squares is equal to the side length of the large square.
14.
Which equation can be used to solve the word problem: the diagonal of a t.v. is 40 inches and the height is 30.  How wide is the t.v.?
a)
302  + 402 = c2
b)
a2  + 402 = 302
c)
302  + b2 = 402
d)
402  + 302 = c2
15.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
16.
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
17.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
18.
Challenge!  Find the perimeter of a triangle that has legs that are 3 cm and 4 cm. 
a)
5
b)
7
c)
10
d)
12
19.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
20.
What is the height of the cone? 
a)
14 cm
b)
8 cm
c)
12 cm
d)
13.9 cm
21.
if a = 3 feet,  b = 8 feet,  and c = 6 feet, what is the length of d rounded to the nearest hundredth of a foot?
a)
8.54 feet
b)
10.44 feet
c)
10 feet
d)
4.12 feet
22.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
23.

The distance from the ground to where the ladder is touching the wall is 7 feet. The distance from the wall to the base of the ladder is 4 feet. What is the length of the ladder?

a)

√65

b)

9

c)

√49

d)

65

24.

What is the distance between the sailboat and the top of the lighthouse? (Round to the nearest tenth).

a)

205m

b)

181.7

c)

33025m

d)

5m

25.

What is the distance from the tee box to the hole?

a)

275 yd

b)

75625 yd

c)

385yd

d)

√385 yd

26.
What is the distance the spooky spider travels if it crawls up the entire diagonal inside the coffin.
a)
2 units
b)
6 units
c)
100 units
d)
32 units
27.
A swimming pool has the dimensions shown. Use x to represent the length of the diagonal that goes from the bottom corner to the top corner at the opposite end of the pool, as shown by the diagonal dotted line. What is the value of x? 
a)
31.3
b)
32.3
c)
33.3
d)
64
28.
What is the height of the cone? 
a)
14 cm
b)
8 cm
c)
12 cm
d)
13.9 cm
29.

Find the length of the slant height for edge AV. (HINT:The altitude height of the pyramid is 12 meters.)

a)

10.9

b)

119\sqrt{119}

c)

13

d)

169

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