Pythagoras’
theorem
Pythagoras’
theorem
Topic
TOPICTest
TEST
Instructions
Instructions
PART
PART A
A
This part
part consists
consists of
of 12
12 multiple
multiple-choice
questions
choice questions
• This
Each question
question is
is worth
worth 11 mark
mark
• Each
Fill in
in only
only ONE
ONE CIRCLE
CIRCLE for
for each
each question
question
• Fill
Calculators may
are NOT
allowed
be used
• Calculators
Time allowed:
allowed: 15
15 minutes
minutes
Time
Total marks =Total
12 marks = 12
Marks
Marks
1
A triangle is said to satisfy the rule c22 = a22 + b22 for which special triangle?
acute angled
right angled
obtuse angled
D
none of these
1
The longest side of a right angled triangle is called the
shortest side
middle side
hypotenuse
D
none of these
1
Given that c22 = a22 + b22 and a = 8, b = 15, what is the value of c?
17
23
289
D
529
1
A
2
A
3
A
4
B
C
B
C
B
C
Pythagoras’ theorem can be applied to
acute angled triangles
right angled triangles
A
C
5
If two sides of a right angled triangle are 2.4 m and 1 m then the hypotenuse is
2.4 m
2.6 m
3.4 m
D
3.8 m
1
The Pythagorean result for a triangle ABC right angled at C is
a22 = b22 + c22
b22 = a22 + c22
c22 = a22 + b22
D
none of these
1
The hypotenuse of a right angled triangle is opposite to the
acute angle
right angle
obtuse angle
D
none of these
1
A
8
A
9
1
1
A
7
obtuse angled triangles
any triangle
The hypotenuse of a right angled triangle is 17 cm. If one side is 15 cm, the third side is
14 cm
12 cm
10 cm
8 cm
A
6
B
D
B
C
B
D
C
B
C
B
C
If two shorter sides of a right angled triangle are 7 m and 8 m, then the hypotenuse is
65
85
113
193
A
B
C
D
10 In a triangle ABC right angled at C, the hypotenuse is named as
Aa
B
b
C
c
D
11 If two sides of a right angled triangle are 6 cm and 8 cm, then the hypotenuse is
A 10 cm
B
12 If n22 = 2304 then n equals
A 38
B
none of these
1
9.4 cm
C
12 cm
D
14 cm
1
42
C
48
D
52
1
Total marks achieved for PART A
20
1
12
TotalYEAR
marks
achieved
forAND
PART
EXCEL
EXCEL ESSENTIAL
ESSENTIAL SKILLS:
SKILLS:
YEAR
88 MATHEMATICS
MATHEMATICS
REVISION
REVISION
AND
EXAM
EXAMA
WORKBOOK
WORKBOOK 11
12
Pythagoras’ theorem
Mathletics Instant Workbooks – Series I
Copyright © 3P Learning
ii
Pythagoras’
Pythagoras’
theorem
theorem
Pythagoras’
theorem
TOPIC
TOPIC
TOPIC
TEST
TEST
TEST
Topic
Test
PART
PART
PARTBBBB
PART
This
This
part
part
part
consists
consists
consists
ofof
of
15
15
15
questions
questions
questions
• ••This
This part consists of 15 questions
Each
Each
question
question
question
isis
is
worth
worth
worth
222
marks
marks
marks
• ••Each
Each question is worth 1 mark
Write
Write
answers
answers
answers
inin
in
the
the
the
answers-only
answers-only
answers-only
column
column
column
• ••Write
Write answers in the answers-only column
Calculators
Calculators
may
may
may
be
be
be
used
used
used
••Calculators
Time allowed: •20
minutes
Instructions
Instructions
Instructions
Instructions
Total marks = 15
Total
Total
Totalmarks
marks
marks===30
30
30
Answers only Marks
Marks
Marks
Answers
Answers
Answersonly
only
only Marks
Time
Time
Timeallowed:
allowed:
allowed:15
15
15minutes
minutes
minutes
Questions
Questions
Questions
Questions
111 IfIf
Ifn2nn2=2 ==3844
3844
3844then
then
thenfind
find
findthe
the
thevalue
value
valueofof
ofnnn
QQ
Q
3636
36
222 IsIs
Is{6,
{6,
{6,8,8,
8,10}
10}
10}a aPythagorean
a Pythagorean
Pythagoreantriad?
triad?
triad?
333 Prove
Prove
Provethat
that
thatΔPQR
ΔPQR
ΔPQRisisisa aright
a right
rightangled
angled
angled
111
222
111
333
111
4
7.2
7.2
7.2
cm
cm
cm 44
111
555
111
666
111
777
111
888
111
999
111
10
10
10
111
11
11
11
111
12
12
12
111
13
13
13
111
14
14
14
111
15
15
15
111
2727
27
PPP
triangle.
triangle.
triangle.
111
RRR
4545
45
Find
Find
Findthe
the
thelength
length
lengthofof
ofthe
the
theunknown
unknown
unknownside
side
sideinin
inthe
the
thefollowing
following
followingtriangles
triangles
trianglescorrect
correct
correct
toto
totwo
two
twodecimal
decimal
decimalplaces.
places.
places.
444
555
3 3m
3m
m
2222
22
mm
m
666
x xx
9.6
9.6
9.6
cm
cm
cm
x xx
777
x xx
1717
17
mm
m
1515
15
mm
m
8887 7cm
7cm
cm
1212
12
mm
m
999
11
m
1m
m
x xx
2424
24
cm
cm
cm
1313
13
mm
m
2 2m
2m
m
x xx
x xx
33
m
3m
m
10
10
10
11
11
11
1313
13
mm
m
x xx
55
m
5m
m
12
12
12
x xx
88
m
8m
m
1212
12
mm
m
x xx
1111
11
mm
m
13
13
13
14
14
14
88
cm
8cm
cm
x xx
1515
15
cm
cm
cm
x xx
1717
17
mm
m
15
15
15
1111
11
cm
cm
cm
2323
23
cm
cm
cm
x xx
2020
20
mm
m
Total
Total
Totalmarks
marks
marksachieved
achieved
achievedfor
for
forPART
PART
PARTBB
B
Chapter
Chapter
Chapter
2:2:
Pythagoras’
2:Pythagoras’
Pythagoras’
theorem
theorem
theorem
Total marks achieved for PART B
Pythagoras’ theorem
Mathletics Instant Workbooks – Series I
Copyright © 3P Learning
30
30
30
21
21
21
15
iii