EduSahara™ Worksheet

Question 1

1.

In the given figure, △GHI is right angled at H. If HI = 12 cm and ∠I = 30°, find GH and GI

(i)
4

4
√

3

cm

&

8

√

3

cm
(ii)
4

4
√

3

cm

&

27

cm
(iii)
4

cm

&

27

cm
(iv)
4

√

3

cm

&

8

√

3

cm
(v)
4

4
√

3

cm

&

24

cm

Question 2

2.

In the given figure, △IJK is right angled at J. If JK = 9 cm and ∠K = 45°, find IJ and IK

(i)
10

cm

&

18

cm
(ii)
10

cm

&

21

cm
(iii)
9

cm

&

9

√

2

cm
(iv)
8

cm

&

21

cm
(v)
10

cm

&

9

√

2

cm

Question 3

3.

In the given figure, △CDE is right angled at D. If DE = 10 cm and ∠E = 60°, find CD and CE

(i)
10

4
√

3

cm

&

19

cm
(ii)
10

4
√

3

cm

&

22

cm
(iii)
10

4
√

1
3

cm

&

22

cm
(iv)
10

√

3

cm

&

20

cm
(v)
10

4
√

3

cm

&

20

cm

Question 4

4.

In the given figure, △CED is right angled at D. If CD = 7 cm and ∠E = 30°, find CE

(i)

14

cm
(ii)

15

cm
(iii)

17

cm
(iv)

13

cm
(v)

11

cm

Question 5

5.

In the given figure, △EGF is right angled at F. If EF = 8 cm and ∠G = 30°, find FG

(i)

8

√

18

cm
(ii)

12

√

2

cm
(iii)

24

cm
(iv)

8

cm
(v)

8

√

3

cm

Question 6

6.

In the given figure, △EGF is right angled at F. If EF = 9 cm and ∠G = 30°, find EH

(i)

7
2

cm
(ii)

11
2

cm
(iii)

5

cm
(iv)

9
2

cm
(v)

17
4

cm

Question 7

7.

In the given figure, △EGF is right angled at F. If EF = 9 cm and ∠G = 30°, find GH

(i)

25
2

cm
(ii)

27
4

cm
(iii)

27
2

cm
(iv)

27

cm
(v)

29
2

cm

Question 8

8.

In the given figure, △CED is right angled at D. If CD = 13 cm and ∠E = 45°, find CE

(i)

13

cm
(ii)

13

√

2

cm
(iii)

26

cm
(iv)

13
2

√

12

cm
(v)

26

√

3

cm

Question 9

9.

In the given figure, △BDC is right angled at C. If BC = 13 cm and ∠D = 45°, find CD

(i)

12

cm
(ii)

14

cm
(iii)

13

cm
(iv)

16

cm
(v)

10

cm

Question 10

10.

In the given figure, △FHG is right angled at G. If FG = 16 cm and ∠H = 45°, find FI

(i)

16

cm
(ii)

4

√

12

cm
(iii)

8

√

2

cm
(iv)

16

√

3

cm
(v)

8

cm

Question 11

11.

In the given figure, △FHG is right angled at G. If FG = 16 cm and ∠H = 45°, find HI

(i)

8

cm
(ii)

16

√

3

cm
(iii)

8

√

2

cm
(iv)

4

√

12

cm
(v)

16

cm

Question 12

12.

In the given figure, △GIH is right angled at H. If GH = 25 cm and ∠I = 60°, find GI

(i)

50
3

cm
(ii)

25

√

2

cm
(iii)

50

cm
(iv)

50
3

√

3

cm
(v)

50
3

√

18

cm

Question 13

13.

In the given figure, △FHG is right angled at G. If FG = 23 cm and ∠H = 60°, find GH

(i)

23

cm
(ii)

23
2

√

2

cm
(iii)

23
3

√

18

cm
(iv)

23
3

cm
(v)

23
3

√

3

cm

Question 14

14.

In the given figure, △ACB is right angled at B. If AB = 23 cm and ∠C = 60°, find AD

(i)

69
4

√

2

cm
(ii)

23
2

cm
(iii)

69
2

cm
(iv)

23
2

√

18

cm
(v)

23
2

√

3

cm

Question 15

15.

In the given figure, △HJI is right angled at I. If HI = 22 cm and ∠J = 60°, find JK

(i)

11
3

√

3

cm
(ii)

11
3

√

18

cm
(iii)

11
2

√

2

cm
(iv)

11
3

cm
(v)

11

cm

Question 16

16.

A chord of 15 cm subtends an angle of 90° at the centre. Calculate its shortest distance from the centre

(i)

8.5 cm
(ii)

9.5 cm
(iii)

5.5 cm
(iv)

7.5 cm
(v)

6.5 cm

Question 17

17.

An equilateral triangle is inscribed in a circle of radius 12 cm. Find the length of its sides.

(i)

36

cm
(ii)

12

√

3

cm
(iii)

12

√

18

cm
(iv)

18

√

2

cm
(v)

12

cm

Question 18

18.

(i)

13
17
(ii)

15
17
(iii)

1
(iv)

15
19

Question 19

19.

(i)

8
15
(ii)

10
17
(iii)

8
19
(iv)

6
17
(v)

8
17

Question 20

20.

(i)

3
2
(ii)

17
8
(iii)

15
8
(iv)

5
2
(v)

13
8

Question 21

21.

(i)

4
3
(ii)

6
5
(iii)

4
7
(iv)

2
5
(v)

4
5

Question 22

22.

(i)

8
15
(ii)

8
19
(iii)

10
17
(iv)

6
17
(v)

8
17

Question 23

23.

(i)

4
(ii)

12
5
(iii)

14
5
(iv)

12
7
(v)

2

Question 24

24.

(i)

115°
(ii)

105°
(iii)

120°
(iv)

110°
(v)

100°

Assignment Key