EduSahara™ Worksheet

Question 1

1.

Which of the following are measures of an isosceles triangle ?

(i)

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

AB = 14 cm , BC = 10 cm , CA = 13 cm
(iii)

AB = 13 cm , BC = 15 cm , CA = 14 cm
(iv)

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

AB = 11 cm , BC = 15 cm , CA = 18.6 cm

Question 2

2.

Identify the points that are on the triangle

(i)

{D,G,J}
(ii)

{C,F,I}
(iii)

{F,H,E}
(iv)

{B,E,H}
(v)

{E,J,H}

Question 3

3.

Find the unknown marked angles in the following figure

(i)

x

=

109°

,

y

=

39°
(ii)

x

=

112°

,

y

=

42°
(iii)

x

=

111°

,

y

=

41°
(iv)

x

=

108°

,

y

=

38°
(v)

x

=

110°

,

y

=

40°

Question 4

4.

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

(i)

JK = 11 cm , KL = 21 cm , LJ = 13 cm
(ii)

JK = 12 cm , KL = 14 cm , LJ = 14 cm
(iii)

JK = 15 cm , KL = 15 cm , LJ = 15 cm
(iv)

JK = 14 cm , KL = 13 cm , LJ = 11 cm
(v)

JK = 11 cm , KL = 11 cm , LJ = 15.56 cm

Question 5

5.

In the following figure CD ∥ FE, find the values of x and y.

(i)

x

=

52°

,

y

=

70°
(ii)

x

=

55°

,

y

=

73°
(iii)

x

=

56°

,

y

=

74°
(iv)

x

=

54°

,

y

=

72°
(v)

x

=

53°

,

y

=

71°

Question 6

6.

Calculate the value of x in the following figure

(i)

x

=

47°
(ii)

x

=

44°
(iii)

x

=

46°
(iv)

x

=

43°
(v)

x

=

45°

Question 7

7.

The ratio between the base angle and the vertical angle of an isosceles triangle is 13 : 10. Find each angle of the triangle

(i)

A

=

52°

,

B

=

65°

,

C

=

63°
(ii)

A

=

50°

,

B

=

63°

,

C

=

67°
(iii)

A

=

48°

,

B

=

65°

,

C

=

67°
(iv)

A

=

48°

,

B

=

67°

,

C

=

65°
(v)

A

=

50°

,

B

=

65°

,

C

=

65°

Question 8

8.

Identify the points that are outside the triangle

(i)

{I,P,M}
(ii)

{I,L,O}
(iii)

{H,K,N}
(iv)

{J,M,P}
(v)

{J,M,K}

Question 9

9.

The median corresponding to the side
PN

(i)

NO
(ii)

NQ
(iii)

PS
(iv)

OR
(v)

NR

Question 10

10.

The point of intersection of the bisectors of the interior angle and the two exterior opposite angles of a triangle is called

(i)

altitude
(ii)

excentre
(iii)

orthocentre
(iv)

circumcentre
(v)

centroid

Question 11

11.

Find the unknown angle in the following figure

(i)

x

=

136°
(ii)

x

=

134°
(iii)

x

=

133°
(iv)

x

=

137°
(v)

x

=

135°

Question 12

12.

In below given figure, find ∠EHG

(i)

139.04°
(ii)

142.04°
(iii)

140.04°
(iv)

141.04°
(v)

138.04°

Question 13

13.

Find the angles of the triangle

(i)

C

=

58°

,

D

=

47°

,

E

=

75°
(ii)

C

=

58°

,

D

=

45°

,

E

=

77°
(iii)

C

=

60°

,

D

=

43°

,

E

=

77°
(iv)

C

=

60°

,

D

=

45°

,

E

=

75°
(v)

C

=

62°

,

D

=

45°

,

E

=

73°

Question 14

14.

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

(i)

∠B = 98.63° , ∠C = 42.38° , ∠D = 38.99°
(ii)

∠B = 45° , ∠C = 90° , ∠D = 45°
(iii)

∠B = 134.62° , ∠C = 24.53° , ∠D = 20.85°
(iv)

∠B = 67.97° , ∠C = 52.62° , ∠D = 59.41°
(v)

∠B = 49.09° , ∠C = 90° , ∠D = 40.91°

Question 15

15.

In the given figure, QR ∥ ST, ∠FCR = 59° and CD = EC. Find the measure of x.

(i)

x

=

61°
(ii)

x

=

64°
(iii)

x

=

63°
(iv)

x

=

62°
(v)

x

=

60°

Question 16

16.

In the given figure , if JG ⟂ HI and ∠GHJ = 55.35°, find ∠IGJ

(i)

23.53°
(ii)

21.53°
(iii)

22.53°
(iv)

20.53°
(v)

24.53°

Question 17

17.

In the given triangle, ∠A = 69.74°. Find the measure of ∠B and ∠C

(i)

∠B = ∠C = 54.13°
(ii)

∠B = ∠C = 56.13°
(iii)

∠B = ∠C = 57.13°
(iv)

∠B = ∠C = 53.13°
(v)

∠B = ∠C = 55.13°

Question 18

18.

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

(i)

∠H = 45° , ∠I = 90° , ∠J = 45°
(ii)

∠H = 135.59° , ∠I = 23.07° , ∠J = 21.34°
(iii)

∠H = 47.91° , ∠I = 61.28° , ∠J = 70.81°
(iv)

∠H = 37.57° , ∠I = 90° , ∠J = 52.43°
(v)

∠H = 92.02° , ∠I = 41.78° , ∠J = 46.2°

Question 19

19.

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

(i)

∠P = 33.69° , ∠Q = 90° , ∠R = 56.31°
(ii)

∠P = 60° , ∠Q = 60° , ∠R = 60°
(iii)

∠P = 65.6° , ∠Q = 57.2° , ∠R = 57.2°
(iv)

∠P = 111.66° , ∠Q = 35.51° , ∠R = 32.83°
(v)

∠P = 51.32° , ∠Q = 59.17° , ∠R = 69.51°

Question 20

20.

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

(i)

∠N = 45° , ∠O = 90° , ∠P = 45°
(ii)

∠N = 60° , ∠O = 60° , ∠P = 60°
(iii)

∠N = 51.32° , ∠O = 59.17° , ∠P = 69.51°
(iv)

∠N = 41.65° , ∠O = 85.46° , ∠P = 52.89°
(v)

∠N = 95.52° , ∠O = 44.17° , ∠P = 40.31°

Question 21

21.

One of the two equal angles of an isosceles triangle measures 62°. Find the measure of each angle of the triangle.

(i)

A

=

60°

,

B

=

62°

,

C

=

58°
(ii)

A

=

60°

,

B

=

64°

,

C

=

56°
(iii)

A

=

62°

,

B

=

60°

,

C

=

58°
(iv)

A

=

62°

,

B

=

62°

,

C

=

56°
(v)

A

=

64°

,

B

=

62°

,

C

=

54°

Question 22

22.

In the given figure, if EH = IE, find the values of x , y , z and t

(i)

x =46.4°, y =25.33°, z =25.75° , t =114.2°
(ii)

x =46.4°, y =25.33°, z =23.75° , t =112.2°
(iii)

x =46.4°, y =27.33°, z =26.75° , t =113.2°
(iv)

x =46.4°, y =25.33°, z =24.75° , t =113.2°
(v)

x =46.4°, y =23.33°, z =22.75° , t =113.2°

Question 23

23.

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

(i)

BC = 13 cm , CD = 19 cm , DB = 10 cm
(ii)

BC = 12 cm , CD = 20 cm , DB = 15 cm
(iii)

BC = 12 cm , CD = 13 cm , DB = 17.69 cm
(iv)

BC = 13 cm , CD = 13 cm , DB = 18.38 cm
(v)

BC = 11 cm , CD = 11 cm , DB = 12 cm

Question 24

24.

In the given figure, find the values of x and y

(i)

x

=

58.76°

,

y

=

46.05°
(ii)

x

=

57.76°

,

y

=

45.05°
(iii)

x

=

60.76°

,

y

=

48.05°
(iv)

x

=

59.76°

,

y

=

47.05°
(v)

x

=

56.76°

,

y

=

44.05°

Question 25

25.

In the given figure, calculate the value of x.

(i)

x

=

25°
(ii)

x

=

26°
(iii)

x

=

23°
(iv)

x

=

27°
(v)

x

=

24°

Assignment Key