EduSahara™ Worksheet

Question 1

1.

Which of the following are measures of an isosceles triangle ?

(i)

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

JK = 13 cm , KL = 15 cm , LJ = 10 cm
(iii)

JK = 14 cm , KL = 13 cm , LJ = 19.1 cm
(iv)

JK = 15 cm , KL = 13 cm , LJ = 11 cm
(v)

JK = 13 cm , KL = 10 cm , LJ = 13 cm

Question 2

2.

In the given figure, △IJK in which ∠J = 57.91° and ∠K = 57.22°. IL and JK bisects each other. Find the value of z

(i)

z

=

64.87°
(ii)

z

=

63.87°
(iii)

z

=

62.87°
(iv)

z

=

65.87°
(v)

z

=

66.87°

Question 3

3.

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

(i)

∠P = 45° , ∠Q = 90° , ∠R = 45°
(ii)

∠P = 60° , ∠Q = 60° , ∠R = 60°
(iii)

∠P = 91.04° , ∠Q = 41.8° , ∠R = 47.16°
(iv)

∠P = 62.72° , ∠Q = 62.72° , ∠R = 54.56°
(v)

∠P = 94.41° , ∠Q = 35.91° , ∠R = 49.68°

Question 4

4.

In the given two equilateral triangles, find ∠L + ∠N + ∠P + ∠M + ∠O + ∠Q .

(i)

362°
(ii)

359°
(iii)

361°
(iv)

358°
(v)

360°

Question 5

5.

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

(i)

EF = 14 cm , FG = 21 cm , GE = 11 cm
(ii)

EF = 14 cm , FG = 12 cm , GE = 15 cm
(iii)

EF = 12 cm , FG = 14 cm , GE = 12 cm
(iv)

EF = 10 cm , FG = 10 cm , GE = 14.14 cm
(v)

EF = 10 cm , FG = 10 cm , GE = 10 cm

Question 6

6.

The median corresponding to the side
CD

(i)

BC
(ii)

DG
(iii)

BF
(iv)

BE
(v)

CF

Question 7

7.

The angles of a triangle ABC are in the ratio 3 : 2 : 5. Find the measure of each angle of the triangle

(i)

A

=

52°

,

B

=

38°

,

C

=

90°
(ii)

A

=

54°

,

B

=

34°

,

C

=

92°
(iii)

A

=

52°

,

B

=

36°

,

C

=

92°
(iv)

A

=

56°

,

B

=

36°

,

C

=

88°
(v)

A

=

54°

,

B

=

36°

,

C

=

90°

Question 8

8.

In the following figure, one side of a triangle has been produced. Find the values of x and y.

(i)

x

=

61°

,

y

=

76°
(ii)

x

=

62°

,

y

=

77°
(iii)

x

=

59°

,

y

=

74°
(iv)

x

=

58°

,

y

=

73°
(v)

x

=

60°

,

y

=

75°

Question 9

9.

Calculate the value of x in the following figure

(i)

x

=

62.87°
(ii)

x

=

61.87°
(iii)

x

=

60.87°
(iv)

x

=

63.87°
(v)

x

=

59.87°

Question 10

10.

Which of the following are measures of an isosceles triangle ?

(i)

∠M = 45.57° , ∠N = 57.56° , ∠O = 76.87°
(ii)

∠M = 44.42° , ∠N = 72.62° , ∠O = 62.96°
(iii)

∠M = 81.08° , ∠N = 49.46° , ∠O = 49.46°
(iv)

∠M = 42.27° , ∠N = 90° , ∠O = 47.73°
(v)

∠M = 60° , ∠N = 60° , ∠O = 60°

Question 11

11.

The side opposite to the vertex
Q

(i)

QR
(ii)

RS
(iii)

SQ
(iv)

QU
(v)

TR

Question 12

12.

Find the measure of each of the two equal angles of an isosceles right-angled triangle.

(i)

45°
(ii)

47°
(iii)

44°
(iv)

46°
(v)

43°

Question 13

13.

Identify the points that are outside the triangle

(i)

{L,J}
(ii)

{J,M}
(iii)

{L,O}
(iv)

{N,O}
(v)

{K,N}

Question 14

14.

In the given figure, BC ∥ DE and BD = DF. Find the values of x,y and z.

(i)

x

=

36°

,

y

=

73°

,

z

=

36°
(ii)

x

=

36°

,

y

=

75°

,

z

=

34°
(iii)

x

=

38°

,

y

=

73°

,

z

=

34°
(iv)

x

=

40°

,

y

=

73°

,

z

=

32°
(v)

x

=

38°

,

y

=

71°

,

z

=

36°

Question 15

15.

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

(i)

A

=

118°

,

B

=

32°

,

C

=

30°
(ii)

A

=

120°

,

B

=

30°

,

C

=

30°
(iii)

A

=

118°

,

B

=

30°

,

C

=

32°
(iv)

A

=

120°

,

B

=

28°

,

C

=

32°
(v)

A

=

122°

,

B

=

30°

,

C

=

28°

Question 16

16.

The vertex opposite to the side
BC

(i)

CD
(ii)

B
(iii)

E
(iv)

A

Question 17

17.

In △BCD, if ∠B = 50° and ∠C = ∠D, find the measure of each of the equal angles of the triangle

(i)

67°
(ii)

66°
(iii)

65°
(iv)

64°
(v)

63°

Question 18

18.

The median corresponding to the side
IG

(i)

IL
(ii)

GJ
(iii)

HK
(iv)

GK
(v)

GH

Question 19

19.

In the given figure, find ∠EFD

(i)

40°
(ii)

41°
(iii)

44°
(iv)

43°
(v)

42°

Question 20

20.

Calculate the value of the lettered angle in the following figure

(i)

x

=

39.81°
(ii)

x

=

37.81°
(iii)

x

=

41.81°
(iv)

x

=

38.81°
(v)

x

=

40.81°

Question 21

21.

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

(i)

A

=

22°

,

B

=

40°

,

C

=

118°
(ii)

A

=

18°

,

B

=

40°

,

C

=

122°
(iii)

A

=

20°

,

B

=

40°

,

C

=

120°
(iv)

A

=

20°

,

B

=

38°

,

C

=

122°
(v)

A

=

18°

,

B

=

42°

,

C

=

120°

Question 22

22.

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

(i)

MN = 11 cm , NO = 10 cm , OM = 14.87 cm
(ii)

MN = 10 cm , NO = 10 cm , OM = 14.14 cm
(iii)

MN = 12 cm , NO = 21 cm , OM = 15 cm
(iv)

MN = 12 cm , NO = 12 cm , OM = 10 cm
(v)

MN = 12 cm , NO = 21 cm , OM = 13 cm

Question 23

23.

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

(i)

∠B = 43.60° , ∠C = 40.90° , ∠D = 82.90°
(ii)

∠B = 40.40° , ∠C = 110.20° , ∠D = 82.90°
(iii)

∠B = 61.28° , ∠C = 48.74° , ∠D = 69.98°
(iv)

∠B = 91.20° , ∠C = 36.70° , ∠D = 84.20°
(v)

∠B = 32.30° , ∠C = 80.80° , ∠D = 52.80°

Question 24

24.

Which of the following are measures of an equilateral triangle ?

(i)

GH = 14 cm , HI = 15 cm , IG = 11 cm
(ii)

GH = 15 cm , HI = 15 cm , IG = 21.21 cm
(iii)

GH = 11 cm , HI = 10 cm , IG = 14.87 cm
(iv)

GH = 10 cm , HI = 10 cm , IG = 10 cm
(v)

GH = 10 cm , HI = 14 cm , IG = 10 cm

Question 25

25.

In the given figure, calculate the value of x.

(i)

x

=

23.5°
(ii)

x

=

22.5°
(iii)

x

=

20.5°
(iv)

x

=

21.5°
(v)

x

=

24.5°

Assignment Key