EduSahara™ Worksheet

Question 1

1.

The side opposite to the vertex
H

(i)

HL
(ii)

JH
(iii)

IJ
(iv)

HI
(v)

KI

Question 2

2.

In △CDE, if ∠C = 58° and ∠D = 57°, find the measure of ∠E

(i)

E

=

66°
(ii)

E

=

64°
(iii)

E

=

65°
(iv)

E

=

63°
(v)

E

=

67°

Question 3

3.

The name of the triangle is

(i)

△KLM
(ii)

△JKM
(iii)

△KLN
(iv)

△LMN
(v)

△JKL

Question 4

4.

Find the unknown angle in the following figure

(i)

x

=

67°
(ii)

x

=

68°
(iii)

x

=

69°
(iv)

x

=

70°
(v)

x

=

66°

Question 5

5.

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

(i)

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

PQ = 12 cm , QR = 12 cm , RP = 16.97 cm
(iii)

PQ = 14 cm , QR = 15 cm , RP = 15 cm
(iv)

PQ = 15 cm , QR = 13 cm , RP = 19.85 cm
(v)

PQ = 13 cm , QR = 19 cm , RP = 10 cm

Question 6

6.

Find the unknown angle in the following figure

(i)

x

=

135°
(ii)

x

=

136°
(iii)

x

=

137°
(iv)

x

=

133°
(v)

x

=

134°

Question 7

7.

The altitude corresponding to the side
JH

(i)

HI
(ii)

JM
(iii)

IL
(iv)

HK
(v)

HL

Question 8

8.

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

(i)

∠N = 42.71° , ∠O = 90° , ∠P = 47.29°
(ii)

∠N = 122.84° , ∠O = 32.32° , ∠P = 24.84°
(iii)

∠N = 61.28° , ∠O = 69.98° , ∠P = 48.74°
(iv)

∠N = 53.13° , ∠O = 67.38° , ∠P = 59.49°
(v)

∠N = 60° , ∠O = 60° , ∠P = 60°

Question 9

9.

Which of the following are measures of an isosceles triangle ?

(i)

EF = 15 cm , FG = 12 cm , GE = 10 cm
(ii)

EF = 10 cm , FG = 14 cm , GE = 12 cm
(iii)

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

EF = 10 cm , FG = 13 cm , GE = 10 cm
(v)

EF = 13 cm , FG = 10 cm , GE = 16.4 cm

Question 10

10.

The vertex opposite to the side
QR

(i)

P
(ii)

RS
(iii)

Q
(iv)

T

Question 11

11.

Calculate the value of x in the following figure

(i)

x

=

51.01°
(ii)

x

=

54.01°
(iii)

x

=

55.01°
(iv)

x

=

53.01°
(v)

x

=

52.01°

Question 12

12.

Find the unknown angle in the following figure

(i)

x

=

92°
(ii)

x

=

91°
(iii)

x

=

89°
(iv)

x

=

90°
(v)

x

=

88°

Question 13

13.

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

(i)

FG = 14 cm , GH = 14 cm , HF = 14 cm
(ii)

FG = 15 cm , GH = 21 cm , HF = 12 cm
(iii)

FG = 12 cm , GH = 10 cm , HF = 14 cm
(iv)

FG = 10 cm , GH = 13 cm , HF = 15 cm
(v)

FG = 10 cm , GH = 15 cm , HF = 18.03 cm

Question 14

14.

Calculate the value of x in the following figure

(i)

x

=

68.08°
(ii)

x

=

65.08°
(iii)

x

=

69.08°
(iv)

x

=

66.08°
(v)

x

=

67.08°

Question 15

15.

The side opposite to the vertex
E

(i)

CD
(ii)

FD
(iii)

EC
(iv)

CG
(v)

DE

Question 16

16.

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

(i)

FG = 10 cm , GH = 10 cm , HF = 12 cm
(ii)

FG = 15 cm , GH = 15 cm , HF = 15 cm
(iii)

FG = 11 cm , GH = 15 cm , HF = 10 cm
(iv)

FG = 12 cm , GH = 11 cm , HF = 13 cm
(v)

FG = 15 cm , GH = 15 cm , HF = 21.21 cm

Question 17

17.

In △DEF, if ∠D = 60° and ∠E = ∠F, find the measure of each of the equal angles of the triangle

(i)

59°
(ii)

58°
(iii)

61°
(iv)

60°
(v)

62°

Question 18

18.

Two angles of a triangle measure 60° and 53° respectively. Find the measure of the third angle of the triangle

(i)

67°
(ii)

66°
(iii)

69°
(iv)

65°
(v)

68°

Question 19

19.

Which of the following are measures of a scalene triangle ?

(i)

∠F = 45° , ∠G = 90° , ∠H = 45°
(ii)

∠F = 66.74° , ∠G = 56.63° , ∠H = 56.63°
(iii)

∠F = 60° , ∠G = 60° , ∠H = 60°
(iv)

∠F = 59.17° , ∠G = 69.51° , ∠H = 51.32°
(v)

∠F = 81.08° , ∠G = 49.46° , ∠H = 49.46°

Question 20

20.

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

(i)

∠A = 127.38° , ∠B = 27.29° , ∠C = 25.33°
(ii)

∠A = 45° , ∠B = 90° , ∠C = 45°
(iii)

∠A = 52.89° , ∠B = 85.46° , ∠C = 41.65°
(iv)

∠A = 42.51° , ∠B = 90° , ∠C = 47.49°
(v)

∠A = 65.16° , ∠B = 57.42° , ∠C = 57.42°

Question 21

21.

Find the unknown marked angles in the following figure

(i)

x

=

111°

,

y

=

40°
(ii)

x

=

110°

,

y

=

39°
(iii)

x

=

108°

,

y

=

37°
(iv)

x

=

109°

,

y

=

38°
(v)

x

=

107°

,

y

=

36°

Question 22

22.

Calculate the value of the lettered angle in the following figure

(i)

x

=

62.17°
(ii)

x

=

59.17°
(iii)

x

=

60.17°
(iv)

x

=

58.17°
(v)

x

=

61.17°

Question 23

23.

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

(i)

MN = 12 cm , NO = 12 cm , OM = 16.97 cm
(ii)

MN = 10 cm , NO = 12 cm , OM = 13 cm
(iii)

MN = 14 cm , NO = 14 cm , OM = 14 cm
(iv)

MN = 10 cm , NO = 18 cm , OM = 10 cm
(v)

MN = 15 cm , NO = 12 cm , OM = 10 cm

Question 24

24.

Calculate the value of the lettered angle in the following figure

(i)

x

=

34.88°
(ii)

x

=

36.88°
(iii)

x

=

32.88°
(iv)

x

=

35.88°
(v)

x

=

33.88°

Question 25

25.

Which of the following are measures of a scalene triangle ?

(i)

CD = 14 cm , DE = 11 cm , EC = 10 cm
(ii)

CD = 10 cm , DE = 12 cm , EC = 10 cm
(iii)

CD = 10 cm , DE = 10 cm , EC = 10 cm
(iv)

CD = 11 cm , DE = 13 cm , EC = 11 cm
(v)

CD = 15 cm , DE = 15 cm , EC = 21.21 cm

Assignment Key