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WorksheetsPythagoras Practise
Total questions: 27
Worksheet time: 1hrs 6mins
Name
Class
Date
1.
What kind of triangles does the Pythagorean Theorem work with?
a)
Right
b)
Left
c)
Isosceles
d)
Equilateral
2.
Identify the hypotenuse.
a)
x
b)
z
c)
w
3.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a2-b2=c2
d)
c-a=c
4.
What is the length of x?
a)
5.7
b)
10.6
c)
20
d)
400
5.
solve for c
a)
7
b)
9
c)
4
d)
13
6.
Find x.
a)
35
b)
20
c)
8
d)
12
7.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
8.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
9.
Find x.
a)
35
b)
20
c)
8
d)
12
10.
a)
87
b)
85
c)
92
d)
31
11.
a)
10
b)
13
c)
22
d)
14
12.
a)
76
b)
67
c)
85
d)
92
13.
a)
33
b)
65
c)
56
d)
66
14.
a)
25
b)
26
c)
33
d)
53
15.
42 = ?
a)
9
b)
8
c)
16
d)
18
16.
92 = ?
a)
81
b)
4.5
c)
18
d)
72
17.
Is this a right triangle?
a)
whatever that means
b)
no
c)
what is that
d)
yes
18.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
19.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
20.
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.
21.
Which statement could you use to make the proof of Pythagorean Theorem using the diagram?
a)
Because 3+4=7, the Pythagorean Theorem is a2+b2=c2.
b)
Because 9+16=25, the Pythagorean Theorem is a+b=c.
c)
Because 3+4=7, the Pythagorean Theorem is a+b=c.
d)
Because 9+16=25, the Pythagorean Theorem is a2+b2=c2.
22.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
23.
What is the formula of midpoint?
a)
(2x1+x2,2y1+y2)
b)
(2x1−x2,2y1−y2)
c)
(2x1+y1,2x2+y2)
d)
(2x1−y1,2x2−y2)
24.
How do we prove a triangle is a right triangle?
a)
Prove all sides are different lenghts
b)
Show that the three sides satisfy the pythagorean theorem
c)
Show that opposite angles are congruent
d)
Show that two sides are congruent
25.
Using the Pythagorean Theorem, if a = 5 and c = 13, find the value of b.
a)
7.9
b)
10
c)
12
d)
16.2
26.
Find the value of x.
a)
4.8
b)
5.6
c)
31
d)
10
27.
A 12-foot ladder is leaning against the side of a building. If the base of the ladder is 3 feet from the base of the building, approximately how high up the building does the top of the ladder reach?
a)
12.34
b)
11.62
c)
10.67
d)
18.29
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