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Worksheets1/13: Pythagorean Theorem Practice
Total questions: 25
Worksheet time: 50mins
Name
Class
Date
1.
A garden is measured to be a 10 yard by 30 yard plot of land. What is the diagonal length of the garden?
a)
31.6 yards
b)
40.5 yards
c)
28.6 yards
d)
30.5 yards
2.
Lena’s guest house is 15 m long and 12 m wide. How long is the diagonal of the house?
a)
19.2 m
b)
21.3 m
c)
30.6 m
d)
18.1 m
3.
The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?
a)
12 feet
b)
13.5 feet
c)
13 feet
d)
11.6 feet
4.
The longest side of a triangle is always the...
a)
hypotenuse
b)
leg
c)
right angle
d)
base
5.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
6.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
7.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
8.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
9.
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
10.
Which of the following statements is true?
a)
The leg of a right triangle must be shorter than the hypotenuse
b)
The leg of a right triangle can have the same measure as the hypotenuse
c)
The Pythagorean Theorem can be used to find the missing side of any triangle
d)
The square of the hypotenuse of a right triangle is equal to the difference of the squares of the legs
11.
What is the value of x?
a)
9 in
b)
19 in
c)
81 in
d)
none of these
12.
What is the value of x? Round to the nearest tenth.
a)
15.1 feet
b)
14.9 feet
c)
17.0 feet
d)
5.8 feet
13.
What is the value of x?
a)
24 in
b)
21 in
c)
9 in
d)
none of these
14.
The legs of a right triangle measure 5 and 7 inches. What is the length of the hypotenuse? Round to the nearest tenth.
a)
8.6 in
b)
8.7 in
c)
4 in
d)
4.9 in
15.
What is the formula for Pythagorean theorem?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
16.
If three sides of a right triangle are 12, 13, and 5, which side is the hypotenuse?
a)
12
b)
13
c)
5
17.
Do these 3 side lengths form a right triangle?
13, 80, and 81?
13, 80, and 81?
a)
yes
b)
no
18.
Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?
a)
yes
b)
no
19.
Do the side lengths 9, 12, and 17 make a right triangle?
a)
Yes
b)
No
20.
Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?
a)
yes
b)
no
21.
Do the segment lengths 9, 12, and 15 form a right triangle?
a)
Yes
b)
No
22.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
23.
Which set of side lengths does not form a right triangle?
a)
38, 80, 90
b)
16, 63, 65
c)
36, 77, 85
d)
14, 15, 29
24.
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
25.
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
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