EduSahara™ Worksheet

Question 1

1.

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

(i)

∠N = 92.87° , ∠O = 48.51° , ∠P = 38.62°
(ii)

∠N = 57.61° , ∠O = 57.61° , ∠P = 64.78°
(iii)

∠N = 54.97° , ∠O = 62.52° , ∠P = 62.51°
(iv)

∠N = 45° , ∠O = 90° , ∠P = 45°
(v)

∠N = 47.12° , ∠O = 90° , ∠P = 42.88°

Question 2

2.

Calculate the value of the lettered angle in the following figure

(i)

x

=

45°
(ii)

x

=

44°
(iii)

x

=

43°
(iv)

x

=

46°
(v)

x

=

47°

Question 3

3.

In the given triangle, ∠J = 90°. Find the measure of ∠K and ∠L

(i)

∠K = ∠L = 43°
(ii)

∠K = ∠L = 46°
(iii)

∠K = ∠L = 44°
(iv)

∠K = ∠L = 45°
(v)

∠K = ∠L = 47°

Question 4

4.

In a right-angled triangle if one of the acute angles is 32°, find the measure of the other acute angle.

(i)

56°
(ii)

60°
(iii)

57°
(iv)

58°
(v)

59°

Question 5

5.

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

(i)

orthocentre
(ii)

altitude
(iii)

incentre
(iv)

excentre
(v)

median

Question 6

6.

The point of intersection of the medians of a triangle is called

(i)

centroid
(ii)

median
(iii)

altitude
(iv)

orthocentre
(v)

circumcentre

Question 7

7.

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

(i)

A

=

120°

,

B

=

30°

,

C

=

30°
(ii)

A

=

122°

,

B

=

30°

,

C

=

28°
(iii)

A

=

118°

,

B

=

30°

,

C

=

32°
(iv)

A

=

118°

,

B

=

32°

,

C

=

30°
(v)

A

=

120°

,

B

=

28°

,

C

=

32°

Question 8

8.

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

(i)

HI = 15 cm , IJ = 13 cm , JH = 19.85 cm
(ii)

HI = 11 cm , IJ = 11 cm , JH = 15.56 cm
(iii)

HI = 10 cm , IJ = 15 cm , JH = 11 cm
(iv)

HI = 14 cm , IJ = 13 cm , JH = 15 cm
(v)

HI = 12 cm , IJ = 16 cm , JH = 10 cm

Question 9

9.

The vertex opposite to the side
LJ

(i)

LM
(ii)

K
(iii)

N
(iv)

J

Question 10

10.

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

(i)

AB = 14 cm , BC = 14 cm , CA = 19.8 cm
(ii)

AB = 14 cm , BC = 12 cm , CA = 18.44 cm
(iii)

AB = 12 cm , BC = 17 cm , CA = 10 cm
(iv)

AB = 14 cm , BC = 11 cm , CA = 14 cm
(v)

AB = 13 cm , BC = 13 cm , CA = 15 cm

Question 11

11.

Two angles of a triangle measure 70° and 70° respectively. Find the measure of the third angle of the triangle

(i)

38°
(ii)

39°
(iii)

41°
(iv)

40°
(v)

42°

Question 12

12.

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

(i)

∠O = 130.54° , ∠P = 22.33° , ∠Q = 27.13°
(ii)

∠O = 60° , ∠P = 60° , ∠Q = 60°
(iii)

∠O = 52.26° , ∠P = 81.28° , ∠Q = 46.46°
(iv)

∠O = 55.3° , ∠P = 48.37° , ∠Q = 76.33°
(v)

∠O = 45° , ∠P = 90° , ∠Q = 45°

Question 13

13.

In the given figure, if LO = PL, find the values of x , y , z and t

(i)

x =65.32°, y =26.89°, z =25.17° , t =122.66°
(ii)

x =65.32°, y =28.89°, z =27.17° , t =122.66°
(iii)

x =65.32°, y =24.89°, z =23.17° , t =122.66°
(iv)

x =65.32°, y =26.89°, z =24.17° , t =121.66°
(v)

x =65.32°, y =26.89°, z =26.17° , t =123.66°

Question 14

14.

Identify the figure below

(i)

decagon
(ii)

octagon
(iii)

triangle
(iv)

circle
(v)

heptagon

Question 15

15.

The median corresponding to the side
GE

(i)

EI
(ii)

FI
(iii)

GJ
(iv)

EH
(v)

EF

Question 16

16.

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

(i)

JK = 12 cm , KL = 10 cm , LJ = 14 cm
(ii)

JK = 7 cm , KL = 17 cm , LJ = 7 cm
(iii)

JK = 6 cm , KL = 10 cm , LJ = 19 cm
(iv)

JK = 18 cm , KL = 5 cm , LJ = 9 cm
(v)

JK = 18 cm , KL = 8 cm , LJ = 6 cm

Question 17

17.

The angles of a triangle ABC are in the ratio 1 : 2 : 3. Find the measure of each angle of the triangle

(i)

A

=

30°

,

B

=

60°

,

C

=

90°
(ii)

A

=

30°

,

B

=

58°

,

C

=

92°
(iii)

A

=

28°

,

B

=

60°

,

C

=

92°
(iv)

A

=

28°

,

B

=

62°

,

C

=

90°
(v)

A

=

32°

,

B

=

60°

,

C

=

88°

Question 18

18.

In the given figure, if IF = GI and FJ = JH , find the value of x.

(i)

x

=

56.64°
(ii)

x

=

58.64°
(iii)

x

=

59.64°
(iv)

x

=

55.64°
(v)

x

=

57.64°

Question 19

19.

Which of the following are measures of a scalene triangle ?

(i)

LM = 13 cm , MN = 11 cm , NL = 13 cm
(ii)

LM = 12 cm , MN = 12 cm , NL = 16.97 cm
(iii)

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

LM = 13 cm , MN = 12 cm , NL = 14 cm
(v)

LM = 15 cm , MN = 10 cm , NL = 15 cm

Question 20

20.

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

(i)

∠C = 38.94° , ∠D = 70.53° , ∠E = 70.53°
(ii)

∠C = 60° , ∠D = 60° , ∠E = 60°
(iii)

∠C = 119.06° , ∠D = 29.31° , ∠E = 31.63°
(iv)

∠C = 42.88° , ∠D = 90° , ∠E = 47.12°
(v)

∠C = 55.3° , ∠D = 76.33° , ∠E = 48.37°

Question 21

21.

How many diagonals does a triangle have?

(i)

2
(ii)

1
(iii)

4
(iv)

0
(v)

3

Question 22

22.

In the given figure , if EB ⟂ CD and ∠BCE = 47.2°, find ∠EDB

(i)

59.95°
(ii)

58.95°
(iii)

60.95°
(iv)

61.95°
(v)

62.95°

Question 23

23.

The altitude corresponding to the side
NO

(i)

OR
(ii)

NQ
(iii)

MP
(iv)

MN
(v)

MQ

Question 24

24.

In △CDE, if ∠C = 62° and ∠D = 60°, find the measure of ∠E

(i)

E

=

60°
(ii)

E

=

58°
(iii)

E

=

56°
(iv)

E

=

57°
(v)

E

=

59°

Question 25

25.

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

(i)

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

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

AB = 13 cm , BC = 12 cm , CA = 10 cm
(iv)

AB = 12 cm , BC = 12 cm , CA = 12 cm
(v)

AB = 15 cm , BC = 25 cm , CA = 15 cm

Assignment Key