EduSahara™ Worksheet

Question 1

1.

In the given figure, △BCD is right angled at C. If CD = 11 cm and ∠D = 30°, find BC and BD

(i)
11
3

4
√

3

cm

&

22
3

√

3

cm
(ii)
11
3

√

3

cm

&

22
3

√

3

cm
(iii)
11
3

4
√

3

cm

&

22

cm
(iv)
11
3

4
√

3

cm

&

24

cm
(v)
11
3

cm

&

24

cm

Question 2

2.

In the given figure, △FGH is right angled at G. If GH = 10 cm and ∠H = 45°, find FG and FH

(i)
10

cm

&

10

√

2

cm
(ii)
11

cm

&

20

cm
(iii)
11

cm

&

22

cm
(iv)
9

cm

&

22

cm
(v)
11

cm

&

10

√

2

cm

Question 3

3.

In the given figure, △JKL is right angled at K. If KL = 9 cm and ∠L = 60°, find JK and JL

(i)
9

4
√

3

cm

&

19

cm
(ii)
9

4
√

3

cm

&

17

cm
(iii)
9

√

3

cm

&

18

cm
(iv)
9

4
√

1
3

cm

&

19

cm
(v)
9

4
√

3

cm

&

18

cm

Question 4

4.

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

(i)

15

cm
(ii)

13

cm
(iii)

18

cm
(iv)

17

cm
(v)

16

cm

Question 5

5.

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

(i)

27
2

√

2

cm
(ii)

9

√

18

cm
(iii)

27

cm
(iv)

9

cm
(v)

9

√

3

cm

Question 6

6.

In the given figure, △BDC is right angled at C. If BC = 9 cm and ∠D = 30°, find BE

(i)

11
2

cm
(ii)

5

cm
(iii)

17
4

cm
(iv)

9
2

cm
(v)

7
2

cm

Question 7

7.

In the given figure, △GIH is right angled at H. If GH = 9 cm and ∠I = 30°, find IJ

(i)

25
2

cm
(ii)

27
2

cm
(iii)

27

cm
(iv)

27
4

cm
(v)

29
2

cm

Question 8

8.

In the given figure, △BDC is right angled at C. If BC = 16 cm and ∠D = 45°, find BD

(i)

16

cm
(ii)

32

√

3

cm
(iii)

32

cm
(iv)

8

√

12

cm
(v)

16

√

2

cm

Question 9

9.

In the given figure, △ACB is right angled at B. If AB = 16 cm and ∠C = 45°, find BC

(i)

19

cm
(ii)

15

cm
(iii)

13

cm
(iv)

16

cm
(v)

17

cm

Question 10

10.

In the given figure, △ACB is right angled at B. If AB = 13 cm and ∠C = 45°, find AD

(i)

13

√

3

cm
(ii)

13

cm
(iii)

13
4

√

12

cm
(iv)

13
2

√

2

cm
(v)

13
2

cm

Question 11

11.

In the given figure, △ACB is right angled at B. If AB = 16 cm and ∠C = 45°, find CD

(i)

8

√

2

cm
(ii)

16

√

3

cm
(iii)

4

√

12

cm
(iv)

16

cm
(v)

8

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)

50
3

√

18

cm
(iii)

50

cm
(iv)

25

√

2

cm
(v)

50
3

√

3

cm

Question 13

13.

In the given figure, △ACB is right angled at B. If AB = 27 cm and ∠C = 60°, find BC

(i)

9

√

18

cm
(ii)

9

cm
(iii)

27
2

√

2

cm
(iv)

9

√

3

cm
(v)

27

cm

Question 14

14.

In the given figure, △EGF is right angled at F. If EF = 26 cm and ∠G = 60°, find EH

(i)

13

√

18

cm
(ii)

13

√

3

cm
(iii)

39

cm
(iv)

39
2

√

2

cm
(v)

13

cm

Question 15

15.

In the given figure, △CED is right angled at D. If CD = 21 cm and ∠E = 60°, find EF

(i)

21
2

cm
(ii)

7
2

cm
(iii)

7
2

√

3

cm
(iv)

21
4

√

2

cm
(v)

7
2

√

18

cm

Question 16

16.

A chord of 12 cm subtends an angle of 90° at the centre. Calculate its shortest distance from the centre

(i)

4.0 cm
(ii)

7.0 cm
(iii)

5.0 cm
(iv)

8.0 cm
(v)

6.0 cm

Question 17

17.

An equilateral triangle is inscribed in a circle of radius 10 cm. Find the length of its sides.

(i)

10

cm
(ii)

10

√

3

cm
(iii)

10

√

18

cm
(iv)

30

cm
(v)

15

√

2

cm

Question 18

18.

(i)

10
13
(ii)

14
13
(iii)

4
5
(iv)

12
11
(v)

12
13

Question 19

19.

(i)

8
17
(ii)

6
17
(iii)

10
17
(iv)

8
19
(v)

8
15

Question 20

20.

(i)

4
(ii)

4
5
(iii)

2
(iv)

4
3
(v)

2
3

Question 21

21.

(i)

2
5
(ii)

4
3
(iii)

4
5
(iv)

4
7
(v)

6
5

Question 22

22.

(i)

1
(ii)

1
5
(iii)

3
5
(iv)

3
7

Question 23

23.

(i)

5
2
(ii)

15
8
(iii)

13
8
(iv)

3
2
(v)

17
8

Question 24

24.

(i)

115°
(ii)

100°
(iii)

105°
(iv)

110°
(v)

120°

Assignment Key