EduSahara™ Worksheet

Question 1

1.

In the given figure, △EFG is right angled at F. If FG = 11 cm and ∠G = 30°, find EF and EG

(i)
11
3

4
√

3

cm

&

22
3

√

3

cm
(ii)
11
3

4
√

3

cm

&

24

cm
(iii)
11
3

√

3

cm

&

22
3

√

3

cm
(iv)
11
3

4
√

3

cm

&

22

cm
(v)
11
3

cm

&

24

cm

Question 2

2.

In the given figure, △FGH is right angled at G. If GH = 8 cm and ∠H = 45°, find FG and FH

(i)
8

cm

&

8

√

2

cm
(ii)
9

cm

&

16

cm
(iii)
9

cm

&

8

√

2

cm
(iv)
6

cm

&

18

cm
(v)
9

cm

&

18

cm

Question 3

3.

In the given figure, △EFG is right angled at F. If FG = 9 cm and ∠G = 60°, find EF and EG

(i)
9

4
√

3

cm

&

17

cm
(ii)
9

√

3

cm

&

18

cm
(iii)
9

4
√

3

cm

&

18

cm
(iv)
9

4
√

3

cm

&

20

cm
(v)
9

4
√

1
3

cm

&

20

cm

Question 4

4.

In the given figure, △FHG is right angled at G. If FG = 9 cm and ∠H = 30°, find FH

(i)

20

cm
(ii)

19

cm
(iii)

18

cm
(iv)

17

cm
(v)

16

cm

Question 5

5.

In the given figure, △HJI is right angled at I. If HI = 7 cm and ∠J = 30°, find IJ

(i)

7

cm
(ii)

21
2

√

2

cm
(iii)

21

cm
(iv)

7

√

18

cm
(v)

7

√

3

cm

Question 6

6.

In the given figure, △IKJ is right angled at J. If IJ = 7 cm and ∠K = 30°, find IL

(i)

13
4

cm
(ii)

4

cm
(iii)

7
2

cm
(iv)

9
2

cm
(v)

5
2

cm

Question 7

7.

In the given figure, △ACB is right angled at B. If AB = 9 cm and ∠C = 30°, find CD

(i)

29
2

cm
(ii)

25
2

cm
(iii)

27
4

cm
(iv)

27
2

cm
(v)

27

cm

Question 8

8.

In the given figure, △IKJ is right angled at J. If IJ = 13 cm and ∠K = 45°, find IK

(i)

13
2

√

12

cm
(ii)

13

√

2

cm
(iii)

26

√

3

cm
(iv)

13

cm
(v)

26

cm

Question 9

9.

In the given figure, △ACB is right angled at B. If AB = 15 cm and ∠C = 45°, find BC

(i)

12

cm
(ii)

14

cm
(iii)

17

cm
(iv)

15

cm
(v)

16

cm

Question 10

10.

In the given figure, △GIH is right angled at H. If GH = 16 cm and ∠I = 45°, find GJ

(i)

8

√

2

cm
(ii)

8

cm
(iii)

4

√

12

cm
(iv)

16

cm
(v)

16

√

3

cm

Question 11

11.

In the given figure, △FHG is right angled at G. If FG = 15 cm and ∠H = 45°, find HI

(i)

15

√

3

cm
(ii)

15
2

cm
(iii)

15

cm
(iv)

15
2

√

2

cm
(v)

15
4

√

12

cm

Question 12

12.

In the given figure, △CED is right angled at D. If CD = 23 cm and ∠E = 60°, find CE

(i)

46
3

√

18

cm
(ii)

23

√

2

cm
(iii)

46
3

√

3

cm
(iv)

46
3

cm
(v)

46

cm

Question 13

13.

In the given figure, △GIH is right angled at H. If GH = 26 cm and ∠I = 60°, find HI

(i)

26
3

√

3

cm
(ii)

13

√

2

cm
(iii)

26
3

√

18

cm
(iv)

26

cm
(v)

26
3

cm

Question 14

14.

In the given figure, △DFE is right angled at E. If DE = 24 cm and ∠F = 60°, find DG

(i)

12

√

3

cm
(ii)

36

cm
(iii)

12

√

18

cm
(iv)

18

√

2

cm
(v)

12

cm

Question 15

15.

In the given figure, △IKJ is right angled at J. If IJ = 26 cm and ∠K = 60°, find KL

(i)

13

cm
(ii)

13
2

√

2

cm
(iii)

13
3

cm
(iv)

13
3

√

3

cm
(v)

13
3

√

18

cm

Question 16

16.

A chord of 13 cm subtends an angle of 90° at the centre. Calculate its shortest distance from the centre

(i)

8.5 cm
(ii)

7.5 cm
(iii)

5.5 cm
(iv)

4.5 cm
(v)

6.5 cm

Question 17

17.

An equilateral triangle is inscribed in a circle of radius 9 cm. Find the length of its sides.

(i)

27

cm
(ii)

9

√

3

cm
(iii)

9

√

18

cm
(iv)

27
2

√

2

cm
(v)

9

cm

Question 18

18.

(i)

13
17
(ii)

1
(iii)

15
19
(iv)

15
17

Question 19

19.

(i)

3
5
(ii)

1
5
(iii)

3
7
(iv)

1

Question 20

20.

(i)

14
5
(ii)

12
7
(iii)

2
(iv)

4
(v)

12
5

Question 21

21.

(i)

13
17
(ii)

1
(iii)

15
19
(iv)

15
17

Question 22

22.

(i)

1
3
(ii)

5
13
(iii)

3
13
(iv)

7
13
(v)

5
11

Question 23

23.

(i)

15
8
(ii)

5
2
(iii)

17
8
(iv)

3
2
(v)

13
8

Question 24

24.

(i)

115°
(ii)

105°
(iii)

120°
(iv)

100°
(v)

110°

Assignment Key