EduSahara™ Worksheet

Question 1

1.

In the given figure, △DEF is right angled at E. If EF = 9 cm and ∠F = 30°, find DE and DF

(i)
3

4
√

1
3

cm

&

20

cm
(ii)
3

4
√

3

cm

&

6

√

3

cm
(iii)
3

4
√

3

cm

&

20

cm
(iv)
3

√

3

cm

&

6

√

3

cm
(v)
3

4
√

3

cm

&

18

cm

Question 2

2.

In the given figure, △ABC is right angled at B. If BC = 11 cm and ∠C = 45°, find AB and AC

(i)
11

cm

&

11

√

2

cm
(ii)
12

cm

&

25

cm
(iii)
12

cm

&

22

cm
(iv)
10

cm

&

25

cm
(v)
12

cm

&

11

√

2

cm

Question 3

3.

In the given figure, △ABC is right angled at B. If BC = 11 cm and ∠C = 60°, find AB and AC

(i)
11

4
√

3

cm

&

23

cm
(ii)
11

4
√

3

cm

&

22

cm
(iii)
11

4
√

3

cm

&

21

cm
(iv)
11

√

3

cm

&

22

cm
(v)
11

cm

&

23

cm

Question 4

4.

In the given figure, △ACB is right angled at B. If AB = 7 cm and ∠C = 30°, find AC

(i)

15

cm
(ii)

11

cm
(iii)

13

cm
(iv)

16

cm
(v)

14

cm

Question 5

5.

In the given figure, △BDC is right angled at C. If BC = 7 cm and ∠D = 30°, find CD

(i)

7

cm
(ii)

7

√

18

cm
(iii)

21
2

√

2

cm
(iv)

21

cm
(v)

7

√

3

cm

Question 6

6.

In the given figure, △DFE is right angled at E. If DE = 7 cm and ∠F = 30°, find DG

(i)

9
2

cm
(ii)

13
4

cm
(iii)

7
2

cm
(iv)

4

cm
(v)

5
2

cm

Question 7

7.

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

(i)

14

cm
(ii)

10

cm
(iii)

13

cm
(iv)

12

cm
(v)

11

cm

Question 8

8.

In the given figure, △HJI is right angled at I. If HI = 13 cm and ∠J = 45°, find HJ

(i)

26

cm
(ii)

26

√

3

cm
(iii)

13

cm
(iv)

13

√

2

cm
(v)

13
2

√

12

cm

Question 9

9.

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

(i)

15

cm
(ii)

16

cm
(iii)

13

cm
(iv)

18

cm
(v)

17

cm

Question 10

10.

In the given figure, △HJI is right angled at I. If HI = 15 cm and ∠J = 45°, find HK

(i)

15
2

√

2

cm
(ii)

15
4

√

12

cm
(iii)

15
2

cm
(iv)

15

√

3

cm
(v)

15

cm

Question 11

11.

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

(i)

16

cm
(ii)

4

√

12

cm
(iii)

16

√

3

cm
(iv)

8

cm
(v)

8

√

2

cm

Question 12

12.

In the given figure, △CED is right angled at D. If CD = 24 cm and ∠E = 60°, find CE

(i)

48

cm
(ii)

24

√

2

cm
(iii)

16

√

3

cm
(iv)

16

cm
(v)

16

√

18

cm

Question 13

13.

In the given figure, △HJI is right angled at I. If HI = 24 cm and ∠J = 60°, find IJ

(i)

12

√

2

cm
(ii)

24

cm
(iii)

8

cm
(iv)

8

√

3

cm
(v)

8

√

18

cm

Question 14

14.

In the given figure, △EGF is right angled at F. If EF = 28 cm and ∠G = 60°, find EH

(i)

21

√

2

cm
(ii)

14

cm
(iii)

14

√

18

cm
(iv)

42

cm
(v)

14

√

3

cm

Question 15

15.

In the given figure, △ACB is right angled at B. If AB = 24 cm and ∠C = 60°, find CD

(i)

4

√

3

cm
(ii)

4

cm
(iii)

6

√

2

cm
(iv)

12

cm
(v)

4

√

18

cm

Question 16

16.

A chord of 14 cm subtends an angle of 90° at the centre. Calculate its shortest distance from the centre

(i)

6.0 cm
(ii)

7.0 cm
(iii)

8.0 cm
(iv)

5.0 cm
(v)

9.0 cm

Question 17

17.

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

(i)

9

cm
(ii)

9

√

3

cm
(iii)

27

cm
(iv)

9

√

18

cm
(v)

27
2

√

2

cm

Question 18

18.

(i)

14
13
(ii)

4
5
(iii)

10
13
(iv)

12
13
(v)

12
11

Question 19

19.

(i)

8
17
(ii)

10
17
(iii)

6
17
(iv)

8
19
(v)

8
15

Question 20

20.

(i)

17
8
(ii)

13
8
(iii)

3
2
(iv)

15
8
(v)

5
2

Question 21

21.

(i)

2
5
(ii)

4
7
(iii)

4
3
(iv)

4
5
(v)

6
5

Question 22

22.

(i)

1
5
(ii)

3
5
(iii)

1
(iv)

3
7

Question 23

23.

(i)

2
3
(ii)

4
3
(iii)

4
(iv)

4
5
(v)

2

Question 24

24.

(i)

110°
(ii)

115°
(iii)

120°
(iv)

100°
(v)

105°

Assignment Key