EduSahara™ Worksheet

Question 1

1.

The median corresponding to the side
NL

(i)

LP
(ii)

MP
(iii)

LO
(iv)

NQ
(v)

LM

Question 2

2.

Which of the following are measures of an obtuse angled triangle ?

(i)

AB = 12 cm , BC = 11 cm , CA = 14 cm
(ii)

AB = 14 cm , BC = 13 cm , CA = 11 cm
(iii)

AB = 15 cm , BC = 10 cm , CA = 18.03 cm
(iv)

AB = 14 cm , BC = 20 cm , CA = 11 cm
(v)

AB = 10 cm , BC = 10 cm , CA = 14.14 cm

Question 3

3.

The angles of a triangle ABC are in the ratio 11 : 5 : 29. Find the measure of each angle of the triangle

(i)

A

=

44°

,

B

=

20°

,

C

=

116°
(ii)

A

=

44°

,

B

=

18°

,

C

=

118°
(iii)

A

=

42°

,

B

=

20°

,

C

=

118°
(iv)

A

=

42°

,

B

=

22°

,

C

=

116°
(v)

A

=

46°

,

B

=

20°

,

C

=

114°

Question 4

4.

In the given figure, △BCD in which side CD has been produced to E. If ∠DBC = x° , ∠BCD = (2/3a)° , ∠CDB = (1/2a)° and ∠BDE = (5/2a)°, find the values of a and x.

(i)

a

=

58°

,

x

=

108°
(ii)

a

=

62°

,

x

=

112°
(iii)

a

=

61°

,

x

=

111°
(iv)

a

=

60°

,

x

=

110°
(v)

a

=

59°

,

x

=

109°

Question 5

5.

Which of the following are measures of an equilateral triangle ?

(i)

∠E = 45° , ∠F = 90° , ∠G = 45°
(ii)

∠E = 60° , ∠F = 60° , ∠G = 60°
(iii)

∠E = 53.75° , ∠F = 90° , ∠G = 36.25°
(iv)

∠E = 41.8° , ∠F = 91.04° , ∠G = 47.16°
(v)

∠E = 70.46° , ∠F = 54.77° , ∠G = 54.77°

Question 6

6.

Which of the following are measures of a scalene triangle ?

(i)

DE = 12 cm , EF = 12 cm , FD = 12 cm
(ii)

DE = 15 cm , EF = 12 cm , FD = 15 cm
(iii)

DE = 11 cm , EF = 12 cm , FD = 15 cm
(iv)

DE = 10 cm , EF = 15 cm , FD = 10 cm
(v)

DE = 14 cm , EF = 14 cm , FD = 19.8 cm

Question 7

7.

The vertical angle of an isosceles triangle is twice the sum of its base angles. Find each angle of the triangle.

(i)

A

=

120°

,

B

=

28°

,

C

=

32°
(ii)

A

=

122°

,

B

=

30°

,

C

=

28°
(iii)

A

=

120°

,

B

=

30°

,

C

=

30°
(iv)

A

=

118°

,

B

=

32°

,

C

=

30°
(v)

A

=

118°

,

B

=

30°

,

C

=

32°

Question 8

8.

Find the angles of the triangle

(i)

E

=

62°

,

F

=

45°

,

G

=

73°
(ii)

E

=

58°

,

F

=

47°

,

G

=

75°
(iii)

E

=

60°

,

F

=

43°

,

G

=

77°
(iv)

E

=

58°

,

F

=

45°

,

G

=

77°
(v)

E

=

60°

,

F

=

45°

,

G

=

75°

Question 9

9.

Which of the following are measures of an isosceles triangle ?

(i)

∠I = 38.94° , ∠J = 70.53° , ∠K = 70.53°
(ii)

∠I = 78.46° , ∠J = 44.42° , ∠K = 57.12°
(iii)

∠I = 60° , ∠J = 60° , ∠K = 60°
(iv)

∠I = 47.49° , ∠J = 90° , ∠K = 42.51°
(v)

∠I = 70.81° , ∠J = 47.91° , ∠K = 61.28°

Question 10

10.

Find the unknown angle in the following figure

(i)

x

=

136°
(ii)

x

=

134°
(iii)

x

=

133°
(iv)

x

=

135°
(v)

x

=

137°

Question 11

11.

Which of the following are measures of a scalene triangle ?

(i)

∠I = 60° , ∠J = 60° , ∠K = 60°
(ii)

∠I = 54.56° , ∠J = 62.72° , ∠K = 62.72°
(iii)

∠I = 64.78° , ∠J = 57.61° , ∠K = 57.61°
(iv)

∠I = 45° , ∠J = 90° , ∠K = 45°
(v)

∠I = 47.91° , ∠J = 61.28° , ∠K = 70.81°

Question 12

12.

Find the unknown marked angles in the following figure

(i)

x

=

107°

,

y

=

107°
(ii)

x

=

106°

,

y

=

106°
(iii)

x

=

110°

,

y

=

110°
(iv)

x

=

109°

,

y

=

109°
(v)

x

=

108°

,

y

=

108°

Question 13

13.

If all the three angles of a triangle are of the same measure, find the measure of each of the angles.

(i)

59°
(ii)

61°
(iii)

60°
(iv)

58°
(v)

62°

Question 14

14.

Find the measures of the three sides suitable to form a triangle?

(i)

CD = 20 cm , DE = 7 cm , EC = 10 cm
(ii)

CD = 6 cm , DE = 6 cm , EC = 13 cm
(iii)

CD = 13 cm , DE = 14 cm , EC = 12 cm
(iv)

CD = 7 cm , DE = 15 cm , EC = 7 cm
(v)

CD = 5 cm , DE = 5 cm , EC = 16 cm

Question 15

15.

Which of the following are measures of a right angled triangle ?

(i)

NO = 10 cm , OP = 19 cm , PN = 14 cm
(ii)

NO = 12 cm , OP = 14 cm , PN = 10 cm
(iii)

NO = 10 cm , OP = 10 cm , PN = 10 cm
(iv)

NO = 13 cm , OP = 14 cm , PN = 11 cm
(v)

NO = 13 cm , OP = 15 cm , PN = 19.85 cm

Question 16

16.

The side opposite to the vertex
E

(i)

EC
(ii)

FD
(iii)

CG
(iv)

CD
(v)

DE

Question 17

17.

The altitude corresponding to the side
LJ

(i)

JM
(ii)

JN
(iii)

JK
(iv)

KN
(v)

LO

Question 18

18.

In a right angled triangle, if the two non-hypotenuse sides are 16 cm and 63 cm, find the hypotenuse

(i)

63.00 cm
(ii)

66.00 cm
(iii)

64.00 cm
(iv)

65.00 cm
(v)

67.00 cm

Question 19

19.

Which of the following are measures of an isosceles triangle ?

(i)

PQ = 13 cm , QR = 15 cm , RP = 13 cm
(ii)

PQ = 11 cm , QR = 15 cm , RP = 12 cm
(iii)

PQ = 12 cm , QR = 12 cm , RP = 12 cm
(iv)

PQ = 11 cm , QR = 12 cm , RP = 14 cm
(v)

PQ = 13 cm , QR = 12 cm , RP = 17.69 cm

Question 20

20.

Which of the following are measures of an acute angled triangle ?

(i)

EF = 15 cm , FG = 23 cm , GE = 11 cm
(ii)

EF = 15 cm , FG = 14 cm , GE = 15 cm
(iii)

EF = 13 cm , FG = 25 cm , GE = 14 cm
(iv)

EF = 12 cm , FG = 12 cm , GE = 16.97 cm
(v)

EF = 15 cm , FG = 11 cm , GE = 18.6 cm

Question 21

21.

In a right angled triangle, if one of the sides is 18 cm and hypotenuse 82 cm, find the third side

(i)

82.00 cm
(ii)

81.00 cm
(iii)

80.00 cm
(iv)

79.00 cm
(v)

78.00 cm

Question 22

22.

Which of the following are measures of an isosceles right angled triangle ?

(i)

∠F = 91.3° , ∠G = 51.04° , ∠H = 37.66°
(ii)

∠F = 47.91° , ∠G = 61.28° , ∠H = 70.81°
(iii)

∠F = 45° , ∠G = 90° , ∠H = 45°
(iv)

∠F = 54.77° , ∠G = 54.77° , ∠H = 70.46°
(v)

∠F = 60° , ∠G = 60° , ∠H = 60°

Question 23

23.

The altitude corresponding to the side
GH

(i)

GJ
(ii)

GK
(iii)

IL
(iv)

HK
(v)

GH

Question 24

24.

Which of the following are measures of an acute angled triangle ?

(i)

PQ = 11 cm , QR = 14 cm , RP = 10 cm
(ii)

PQ = 15 cm , QR = 27 cm , RP = 14 cm
(iii)

PQ = 12 cm , QR = 10 cm , RP = 15.62 cm
(iv)

PQ = 11 cm , QR = 17 cm , RP = 10 cm
(v)

PQ = 14 cm , QR = 14 cm , RP = 19.8 cm

Question 25

25.

The vertex opposite to the side
US

(i)

S
(ii)

W
(iii)

UV
(iv)

T

Assignment Key