EduSahara™ Worksheet

Question 1

1.

Find the unknown angles in the following figure

(i)

D

=

45°

,

E

=

45°
(ii)

D

=

44°

,

E

=

44°
(iii)

D

=

46°

,

E

=

46°
(iv)

D

=

43°

,

E

=

43°
(v)

D

=

42°

,

E

=

42°

Question 2

2.

Which of the following are measures of a scalene triangle ?

(i)

∠B = 60° , ∠C = 60° , ∠D = 60°
(ii)

∠B = 38.94° , ∠C = 70.53° , ∠D = 70.53°
(iii)

∠B = 45° , ∠C = 90° , ∠D = 45°
(iv)

∠B = 41.8° , ∠C = 91.04° , ∠D = 47.16°
(v)

∠B = 70.46° , ∠C = 54.77° , ∠D = 54.77°

Question 3

3.

The ratio between the base angle and the vertical angle of an isosceles triangle is 1 : 1. Find each angle of the triangle

(i)

A

=

58°

,

B

=

62°

,

C

=

60°
(ii)

A

=

60°

,

B

=

58°

,

C

=

62°
(iii)

A

=

60°

,

B

=

60°

,

C

=

60°
(iv)

A

=

62°

,

B

=

60°

,

C

=

58°
(v)

A

=

58°

,

B

=

60°

,

C

=

62°

Question 4

4.

Which of the following are measures of a scalene triangle ?

(i)

∠C = 54.56° , ∠D = 62.72° , ∠E = 62.72°
(ii)

∠C = 60° , ∠D = 60° , ∠E = 60°
(iii)

∠C = 45° , ∠D = 90° , ∠E = 45°
(iv)

∠C = 52.26° , ∠D = 46.46° , ∠E = 81.28°
(v)

∠C = 72.44° , ∠D = 53.78° , ∠E = 53.78°

Question 5

5.

The median corresponding to the side
FG

(i)

EI
(ii)

FI
(iii)

EH
(iv)

GJ
(v)

EF

Question 6

6.

Which of the following are measures of an equilateral triangle ?

(i)

LM = 14 cm , MN = 13 cm , NL = 15 cm
(ii)

LM = 10 cm , MN = 10 cm , NL = 14.14 cm
(iii)

LM = 12 cm , MN = 12 cm , NL = 12 cm
(iv)

LM = 10 cm , MN = 11 cm , NL = 14.87 cm
(v)

LM = 13 cm , MN = 10 cm , NL = 13 cm

Question 7

7.

The median corresponding to the side
MK

(i)

MP
(ii)

KO
(iii)

KL
(iv)

LO
(v)

KN

Question 8

8.

Find the unknown angle from the following figure

(i)

x

=

81.64°
(ii)

x

=

83.64°
(iii)

x

=

79.64°
(iv)

x

=

80.64°
(v)

x

=

82.64°

Question 9

9.

Find the unknown angle in the following figure

(i)

x

=

69.08°
(ii)

x

=

67.08°
(iii)

x

=

68.08°
(iv)

x

=

65.08°
(v)

x

=

66.08°

Question 10

10.

Calculate the value of the lettered angle in the following figure

(i)

x

=

55.27°
(ii)

x

=

57.27°
(iii)

x

=

53.27°
(iv)

x

=

56.27°
(v)

x

=

54.27°

Question 11

11.

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

(i)

∠O = 51.84° , ∠P = 90° , ∠Q = 38.16°
(ii)

∠O = 105.64° , ∠P = 31.98° , ∠Q = 42.38°
(iii)

∠O = 45° , ∠P = 90° , ∠Q = 45°
(iv)

∠O = 83.47° , ∠P = 51.32° , ∠Q = 45.21°
(v)

∠O = 59.3° , ∠P = 68.68° , ∠Q = 52.02°

Question 12

12.

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

(i)

GH = 12 cm , HI = 12 cm , IG = 16.97 cm
(ii)

GH = 10 cm , HI = 18 cm , IG = 12 cm
(iii)

GH = 12 cm , HI = 11 cm , IG = 16.28 cm
(iv)

GH = 13 cm , HI = 13 cm , IG = 14 cm
(v)

GH = 14 cm , HI = 22 cm , IG = 15 cm

Question 13

13.

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

(i)

BC = 14 cm , CD = 19 cm , DB = 10 cm
(ii)

BC = 12 cm , CD = 13 cm , DB = 11 cm
(iii)

BC = 15 cm , CD = 13 cm , DB = 12 cm
(iv)

BC = 14 cm , CD = 14 cm , DB = 19.8 cm
(v)

BC = 13 cm , CD = 12 cm , DB = 17.69 cm

Question 14

14.

Which of the following are measures of a scalene triangle ?

(i)

GH = 13 cm , HI = 11 cm , IG = 14 cm
(ii)

GH = 11 cm , HI = 11 cm , IG = 11 cm
(iii)

GH = 12 cm , HI = 12 cm , IG = 16.97 cm
(iv)

GH = 11 cm , HI = 12 cm , IG = 11 cm
(v)

GH = 13 cm , HI = 11 cm , IG = 13 cm

Question 15

15.

In a right-angled triangle if one of the acute angles is 43°, find the measure of the other acute angle.

(i)

46°
(ii)

48°
(iii)

47°
(iv)

45°
(v)

49°

Question 16

16.

In the following figure, one side of a triangle has been produced. Find all the angles of the triangle

(i)

C

=

60°

,

D

=

45°

,

E

=

75°
(ii)

C

=

62°

,

D

=

45°

,

E

=

73°
(iii)

C

=

60°

,

D

=

43°

,

E

=

77°
(iv)

C

=

58°

,

D

=

47°

,

E

=

75°
(v)

C

=

58°

,

D

=

45°

,

E

=

77°

Question 17

17.

Which of the following are measures of an equilateral triangle ?

(i)

∠O = 48.74° , ∠P = 69.98° , ∠Q = 61.28°
(ii)

∠O = 60° , ∠P = 60° , ∠Q = 60°
(iii)

∠O = 47.29° , ∠P = 90° , ∠Q = 42.71°
(iv)

∠O = 71.38° , ∠P = 54.31° , ∠Q = 54.31°
(v)

∠O = 45° , ∠P = 90° , ∠Q = 45°

Question 18

18.

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

(i)

∠O = 46.95° , ∠P = 71.79° , ∠Q = 61.26°
(ii)

∠O = 60° , ∠P = 60° , ∠Q = 60°
(iii)

∠O = 45° , ∠P = 90° , ∠Q = 45°
(iv)

∠O = 109.08° , ∠P = 36.97° , ∠Q = 33.95°
(v)

∠O = 53.13° , ∠P = 67.38° , ∠Q = 59.49°

Question 19

19.

In the given figure, △HIJ in which side IJ has been produced to K. If ∠JHI = x° , ∠HIJ = (3a)° , ∠IJH = (3a)° and ∠HJK = (15a)°, find the values of a and x.

(i)

a

=

11°

,

x

=

121°
(ii)

a

=

9°

,

x

=

119°
(iii)

a

=

12°

,

x

=

122°
(iv)

a

=

10°

,

x

=

120°
(v)

a

=

8°

,

x

=

118°

Question 20

20.

Which of the following are measures of a scalene triangle ?

(i)

LM = 10 cm , MN = 15 cm , NL = 10 cm
(ii)

LM = 13 cm , MN = 15 cm , NL = 10 cm
(iii)

LM = 12 cm , MN = 12 cm , NL = 12 cm
(iv)

LM = 13 cm , MN = 13 cm , NL = 18.38 cm
(v)

LM = 15 cm , MN = 12 cm , NL = 15 cm

Question 21

21.

The vertex opposite to the side
HI

(i)

K
(ii)

H
(iii)

G
(iv)

IJ

Question 22

22.

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

(i)

LM = 20 cm , MN = 6 cm , NL = 9 cm
(ii)

LM = 7 cm , MN = 7 cm , NL = 16 cm
(iii)

LM = 14 cm , MN = 10 cm , NL = 15 cm
(iv)

LM = 10 cm , MN = 8 cm , NL = 19 cm
(v)

LM = 6 cm , MN = 14 cm , NL = 7 cm

Question 23

23.

Which of the following are measures of an isosceles triangle ?

(i)

∠D = 45.24° , ∠E = 67.38° , ∠F = 67.38°
(ii)

∠D = 51.34° , ∠E = 90° , ∠F = 38.66°
(iii)

∠D = 41.65° , ∠E = 52.89° , ∠F = 85.46°
(iv)

∠D = 44.42° , ∠E = 57.12° , ∠F = 78.46°
(v)

∠D = 60° , ∠E = 60° , ∠F = 60°

Question 24

24.

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

(i)

∠H = 116.39° , ∠I = 27.86° , ∠J = 35.75°
(ii)

∠H = 40.16° , ∠I = 75.31° , ∠J = 64.53°
(iii)

∠H = 51.32° , ∠I = 45.21° , ∠J = 83.47°
(iv)

∠H = 51.34° , ∠I = 90° , ∠J = 38.66°
(v)

∠H = 60° , ∠I = 60° , ∠J = 60°

Question 25

25.

The median corresponding to the side
KL

(i)

KO
(ii)

MP
(iii)

KL
(iv)

KN
(v)

LO

Assignment Key