WorksheetsPythagorean Theorem
Total questions: 20
Worksheet time: 2hrs 58mins
Name
Class
Date
1.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
2.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
3.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
4.
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.
5.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
4, 5, 6
a)
Yes
b)
No
6.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
7.
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
8.
Determine the length of the missing side.
a)
7
b)
8
c)
17
d)
23
9.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
10.
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
11.
An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?
a)
65 miles
b)
89 miles
c)
45.4 miles
d)
We don't have enough information.
12.
Which equation is modeled by the picture shown?
a)
32+52=42
b)
32+42=52
c)
52+42=32
d)
92+162=252
13.
Do the side lengths 6in, 8in, and 10in form a right triangle?
a)
Yes
b)
No
14.
Find the length of the missing side.
a)
48
b)
108
c)
83.6
d)
72
15.
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)
A. 17 miles
b)
B. 32 miles
c)
C. 37 miles
d)
D. 40 miles
16.
a)
The top of the ladder is 8.9 ft from the ground
b)
The top of the ladder is 9.2 ft from the ground
c)
The top of the ladder is 16.5 ft from the ground
d)
The top o the ladder is 14.4 ft from the ground
17.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
18.
Your family wants to purchase a new laptop with a 17” widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don’t remember the width. What is the width?
a)
13.7 inches
b)
12.8 inches
c)
11.3 inches
d)
13.1 inches
19.
Find the missing side
a)
11
b)
61
c)
61
d)
11
20.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
100 %
