EduSahara™ Worksheet

Question 1

1.

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

(i)

∠I = 45.21° , ∠J = 83.47° , ∠K = 51.32°
(ii)

∠I = 45° , ∠J = 90° , ∠K = 45°
(iii)

∠I = 114.22° , ∠J = 34.37° , ∠K = 31.41°
(iv)

∠I = 75.31° , ∠J = 40.16° , ∠K = 64.53°
(v)

∠I = 60° , ∠J = 60° , ∠K = 60°

Question 2

2.

The side opposite to the vertex
T

(i)

TU
(ii)

VT
(iii)

WU
(iv)

TX
(v)

UV

Question 3

3.

Find the unknown marked angles in the following figure

(i)

x

=

112°

,

y

=

42°
(ii)

x

=

109°

,

y

=

39°
(iii)

x

=

110°

,

y

=

40°
(iv)

x

=

108°

,

y

=

38°
(v)

x

=

111°

,

y

=

41°

Question 4

4.

Which of the following are measures of an equilateral triangle ?

(i)

∠C = 53.75° , ∠D = 90° , ∠E = 36.25°
(ii)

∠C = 60° , ∠D = 60° , ∠E = 60°
(iii)

∠C = 61.28° , ∠D = 70.81° , ∠E = 47.91°
(iv)

∠C = 45° , ∠D = 90° , ∠E = 45°
(v)

∠C = 64.78° , ∠D = 57.61° , ∠E = 57.61°

Question 5

5.

The median corresponding to the side
QO

(i)

PS
(ii)

OS
(iii)

OR
(iv)

QT
(v)

OP

Question 6

6.

One of the two equal angles of an isosceles triangle measures 42°. Find the measure of each angle of the triangle.

(i)

A

=

42°

,

B

=

42°

,

C

=

96°
(ii)

A

=

40°

,

B

=

42°

,

C

=

98°
(iii)

A

=

44°

,

B

=

42°

,

C

=

94°
(iv)

A

=

40°

,

B

=

44°

,

C

=

96°
(v)

A

=

42°

,

B

=

40°

,

C

=

98°

Question 7

7.

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

(i)

NO = 13 cm , OP = 13 cm , PN = 18.38 cm
(ii)

NO = 14 cm , OP = 23 cm , PN = 15 cm
(iii)

NO = 15 cm , OP = 12 cm , PN = 14 cm
(iv)

NO = 12 cm , OP = 12 cm , PN = 12 cm
(v)

NO = 14 cm , OP = 11 cm , PN = 10 cm

Question 8

8.

In an isosceles triangle, each base angle is four times its vertical angle. Find each angle of the triangle.

(i)

A

=

20°

,

B

=

80°

,

C

=

80°
(ii)

A

=

18°

,

B

=

80°

,

C

=

82°
(iii)

A

=

22°

,

B

=

80°

,

C

=

78°
(iv)

A

=

20°

,

B

=

78°

,

C

=

82°
(v)

A

=

18°

,

B

=

82°

,

C

=

80°

Question 9

9.

In the given triangle, ∠B = 52.34°. Find the measure of ∠C and ∠D

(i)

∠C = ∠D = 65.83°
(ii)

∠C = ∠D = 62.83°
(iii)

∠C = ∠D = 61.83°
(iv)

∠C = ∠D = 63.83°
(v)

∠C = ∠D = 64.83°

Question 10

10.

The ratio between the base angle and the vertical angle of an isosceles triangle is 7 : 4. Find each angle of the triangle

(i)

A

=

40°

,

B

=

70°

,

C

=

70°
(ii)

A

=

40°

,

B

=

68°

,

C

=

72°
(iii)

A

=

38°

,

B

=

72°

,

C

=

70°
(iv)

A

=

38°

,

B

=

70°

,

C

=

72°
(v)

A

=

42°

,

B

=

70°

,

C

=

68°

Question 11

11.

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

(i)

59°
(ii)

60°
(iii)

58°
(iv)

62°
(v)

61°

Question 12

12.

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

(i)

PQ = 12 cm , QR = 23 cm , RP = 15 cm
(ii)

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

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

PQ = 15 cm , QR = 10 cm , RP = 13 cm
(v)

PQ = 14 cm , QR = 12 cm , RP = 10 cm

Question 13

13.

Two angles of a triangle measure 61° and 55° respectively. Find the measure of the third angle of the triangle

(i)

66°
(ii)

62°
(iii)

65°
(iv)

64°
(v)

63°

Question 14

14.

Which of the following are measures of an equilateral triangle ?

(i)

AB = 15 cm , BC = 12 cm , CA = 11 cm
(ii)

AB = 11 cm , BC = 13 cm , CA = 17.03 cm
(iii)

AB = 10 cm , BC = 13 cm , CA = 10 cm
(iv)

AB = 10 cm , BC = 10 cm , CA = 14.14 cm
(v)

AB = 11 cm , BC = 11 cm , CA = 11 cm

Question 15

15.

Find the unknown marked angles in the following figure

(i)

x

=

111°

,

y

=

111°
(ii)

x

=

112°

,

y

=

112°
(iii)

x

=

113°

,

y

=

113°
(iv)

x

=

114°

,

y

=

114°
(v)

x

=

110°

,

y

=

110°

Question 16

16.

In a right angled triangle, if one of the angles is 49.76°, find the third angle

(i)

55.24°
(ii)

45.24°
(iii)

50.24°
(iv)

40.24°
(v)

70.24°

Question 17

17.

The side opposite to the vertex
M

(i)

LM
(ii)

LP
(iii)

NL
(iv)

OM
(v)

MN

Question 18

18.

The side opposite to the vertex
D

(i)

BF
(ii)

BC
(iii)

EC
(iv)

CD
(v)

DB

Question 19

19.

In a right-angled triangle, the two acute angles are in the ratio 2 : 7. Find these angles.

(i)

A

=

19°

,

C

=

69°
(ii)

A

=

22°

,

C

=

72°
(iii)

A

=

18°

,

C

=

68°
(iv)

A

=

21°

,

C

=

71°
(v)

A

=

20°

,

C

=

70°

Question 20

20.

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

(i)

IJ = 11 cm , JK = 12 cm , KI = 16.28 cm
(ii)

IJ = 11 cm , JK = 11 cm , KI = 15.56 cm
(iii)

IJ = 15 cm , JK = 20 cm , KI = 12 cm
(iv)

IJ = 13 cm , JK = 12 cm , KI = 15 cm
(v)

IJ = 10 cm , JK = 18 cm , KI = 11 cm

Question 21

21.

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

(i)

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

FG = 12 cm , GH = 15 cm , HF = 10 cm
(iii)

FG = 12 cm , GH = 12 cm , HF = 16.97 cm
(iv)

FG = 15 cm , GH = 18 cm , HF = 10 cm
(v)

FG = 12 cm , GH = 10 cm , HF = 10 cm

Question 22

22.

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

(i)

KL = 14 cm , LM = 14 cm , MK = 19.8 cm
(ii)

KL = 13 cm , LM = 15 cm , MK = 13 cm
(iii)

KL = 15 cm , LM = 14 cm , MK = 20.52 cm
(iv)

KL = 14 cm , LM = 22 cm , MK = 14 cm
(v)

KL = 13 cm , LM = 11 cm , MK = 11 cm

Question 23

23.

The altitude corresponding to the side
MK

(i)

MP
(ii)

KO
(iii)

LO
(iv)

KL
(v)

KN

Question 24

24.

Find the unknown angle from the following figure

(i)

x

=

66°
(ii)

x

=

65°
(iii)

x

=

64°
(iv)

x

=

63°
(v)

x

=

62°

Question 25

25.

Which of the following are measures of an equilateral triangle ?

(i)

∠K = 60° , ∠L = 60° , ∠M = 60°
(ii)

∠K = 47.16° , ∠L = 41.8° , ∠M = 91.04°
(iii)

∠K = 45° , ∠L = 90° , ∠M = 45°
(iv)

∠K = 40.24° , ∠L = 90° , ∠M = 49.76°
(v)

∠K = 65.16° , ∠L = 57.42° , ∠M = 57.42°

Assignment Key