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WorksheetsPythagorean Theorem - AMCMS Math 8
Total questions: 24
Worksheet time: 3hrs 38mins
Name
Class
Date
1.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
2.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
3.
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
4.
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
5.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
6.
Solve for the walkway length
a)
30
b)
40
c)
58
d)
35
7.
what is the missing length?
a)
50
b)
60
c)
70
d)
80
8.
a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?
Is this a right triangle?
a)
yes
b)
no
9.
Side a on a right triangle is ALWAYS the longest side.
a)
true
b)
false
10.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
11.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
12.
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
13.
Which solves for y correctly?
a)
122 + 132= y2
b)
132 + y2 =122
c)
122 + y2 = 132
d)
12 + 13= y
14.
What is the value of x in the right triangle shown?
a)
16cm
b)
18cm
c)
24cm
d)
√674cm
15.
In a computer catalog, a computer is listed as being 19 inches. This distance is the diagonal distance across the screen. If the screen measures 10 inches in height, what is the actual width of the screen to the nearest inch?
a)
16
b)
21
c)
17
d)
18
16.
Do these 3 side lengths form a right triangle?
13, 80, and 81?
13, 80, and 81?
a)
yes
b)
no
17.
The size of a television screen is measured by the length of the diagonal of the screen. What size is a television screen that is 3 feet tall and 6 feet wide?
a)
18
b)
6.7
18.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
19.
Find the distance between the two points.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
20.
How high up the wall does the ladder touch?
a)
12
b)
13.9
c)
144
d)
194
21.
In the drawing, the dashed line segment represents the distance across a pond. What is the actual distance, in yards, across the pond?
Scale: 1 in = 2 yards
Scale: 1 in = 2 yards
a)
100 in
b)
20 yds
c)
10 yds
d)
200 yds
22.
A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?
a)
9ft
b)
11ft
c)
6ft
d)
14ft
23.
The Hypotenuse is always ___________
a)
next to the right angle
b)
across from the right angle
c)
the shortest side
d)
a decimal
24.
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
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