EduSahara™ Worksheet

Question 1

1.

In △PQR, if QR = 17 cm, RP = 20 cm, PQ = 19 cm, then perimeter of the triangle =

(i)

59.00 cm
(ii)

51.00 cm
(iii)

53.00 cm
(iv)

61.00 cm
(v)

56.00 cm

Question 2

2.

In △PQR, if QR = 20 cm, RP = 13 cm and the corresponding height of side QR = 10.95 cm, then corresponding height of side RP =

(i)

11.85 cm
(ii)

13.85 cm
(iii)

21.85 cm
(iv)

16.85 cm
(v)

19.85 cm

Question 3

3.

In △PQR, if QR = 10 cm, RP = 14 cm and the corresponding height of side QR = 13.93 cm, then area of the triangle =

(i)

66.65 sq.cm
(ii)

74.65 sq.cm
(iii)

72.65 sq.cm
(iv)

64.65 sq.cm
(v)

69.65 sq.cm

Question 4

4.

In △PQR, if base QR = 15 cm and the corresponding height of side QR = 13.62 cm, then area of the triangle =

(i)

102.16 sq.cm
(ii)

85.16 sq.cm
(iii)

114.16 sq.cm
(iv)

106.16 sq.cm
(v)

96.16 sq.cm

Question 5

5.

In △PQR, if base QR = 17 cm and area of the triangle = 148.92 sq.cm, then corresponding height of side QR =

(i)

22.52 cm
(ii)

20.52 cm
(iii)

14.52 cm
(iv)

17.52 cm
(v)

12.52 cm

Question 6

6.

In △PQR, if corresponding height of side QR = 13.81 cm and area of the triangle = 124.27 sq.cm, then side QR =

(i)

23.00 cm
(ii)

13.00 cm
(iii)

18.00 cm
(iv)

21.00 cm
(v)

15.00 cm

Question 7

7.

If the side of an equilateral triangle is 15 cm, the height of the equilateral triangle =

(i)

15.99 cm
(ii)

7.99 cm
(iii)

12.99 cm
(iv)

17.99 cm
(v)

9.99 cm

Question 8

8.

If the side of an equilateral triangle is 11 cm, the perimeter of the equilateral triangle =

(i)

30.00 cm
(ii)

36.00 cm
(iii)

33.00 cm
(iv)

28.00 cm
(v)

38.00 cm

Question 9

9.

If area of an equilateral triangle is 73.18 sq.cm, the side of the equilateral triangle =

(i)

13.00 cm
(ii)

8.00 cm
(iii)

16.00 cm
(iv)

18.00 cm
(v)

10.00 cm

Question 10

10.

If area of an equilateral triangle is 173.21 sq.cm, the height of the equilateral triangle =

(i)

17.32 cm
(ii)

22.32 cm
(iii)

14.32 cm
(iv)

12.32 cm
(v)

20.32 cm

Question 11

11.

If area of an equilateral triangle is 173.21 sq.cm, the perimeter of the equilateral triangle =

(i)

65.00 cm
(ii)

63.00 cm
(iii)

60.00 cm
(iv)

55.00 cm
(v)

57.00 cm

Question 12

12.

If perimeter of an equilateral triangle 42 cm, the area of the equilateral triangle =

(i)

87.87 sq.cm
(ii)

84.87 sq.cm
(iii)

81.87 sq.cm
(iv)

89.87 sq.cm
(v)

79.87 sq.cm

Question 13

13.

In an isosceles triangle △ABC, if BC = 13 cm, AB = CA = 11 cm, then perimeter of the triangle =

(i)

30.00 cm
(ii)

38.00 cm
(iii)

32.00 cm
(iv)

35.00 cm
(v)

40.00 cm

Question 14

14.

In an isosceles triangle △ABC, if BC = 17 cm, CA = AB and perimeter is 49 cm, then side AB =

(i)

11.00 cm
(ii)

19.00 cm
(iii)

16.00 cm
(iv)

13.00 cm
(v)

21.00 cm

Question 15

15.

In a right angled triangle △PQR, if QR = 14 cm, PQ = 17 cm are the lengths of perpendicular sides , then corresponding height of side QR =

(i)

20.00 cm
(ii)

17.00 cm
(iii)

14.00 cm
(iv)

22.00 cm
(v)

12.00 cm

Question 16

16.

In a right angled triangle △PQR, if QR = 15 cm, PQ = 17 cm are the lengths of perpendicular sides , then corresponding height of side PQ =

(i)

10.00 cm
(ii)

18.00 cm
(iii)

15.00 cm
(iv)

12.00 cm
(v)

20.00 cm

Question 17

17.

In a right angled triangle △PQR, if QR = 19 cm, PQ = 14 cm are the lengths of perpendicular sides , then area of the triangle =

(i)

127.00 sq.cm
(ii)

133.00 sq.cm
(iii)

118.00 sq.cm
(iv)

147.00 sq.cm
(v)

151.00 sq.cm

Question 18

18.

In a right angled triangle △PQR, if the base QR = 20 cm and the corresponding height is 16 cm, then side RP =

(i)

22.61 cm
(ii)

28.61 cm
(iii)

30.61 cm
(iv)

25.61 cm
(v)

20.61 cm

Question 19

19.

In a right angled triangle △PQR, if the base QR = 20 cm and the corresponding height is 12 cm, then side PQ =

(i)

12.00 cm
(ii)

15.00 cm
(iii)

17.00 cm
(iv)

9.00 cm
(v)

7.00 cm

Question 20

20.

In a right angled triangle △PQR, if the base QR = 17 cm and the corresponding height is 19 cm, then corresponding height of side PQ =

(i)

22.00 cm
(ii)

14.00 cm
(iii)

12.00 cm
(iv)

17.00 cm
(v)

20.00 cm

Question 21

21.

In a right angled triangle △PQR, if the base QR = 15 cm and the corresponding height is 11 cm, then area of the triangle =

(i)

79.50 sq.cm
(ii)

85.50 sq.cm
(iii)

77.50 sq.cm
(iv)

82.50 sq.cm
(v)

87.50 sq.cm

Question 22

22.

In a right angled triangle △PQR, if the area is 85 sq.cm and corresponding height of side QR = 10 cm, then side QR =

(i)

20.00 cm
(ii)

17.00 cm
(iii)

14.00 cm
(iv)

12.00 cm
(v)

22.00 cm

Question 23

23.

In a right angled triangle △PQR, if the area is 150 sq.cm and corresponding height of side QR = 20 cm, then side PQ =

(i)

25.00 cm
(ii)

23.00 cm
(iii)

17.00 cm
(iv)

20.00 cm
(v)

15.00 cm

Question 24

24.

In a right angled triangle △PQR, if the area is 65 sq.cm and base QR = 10 cm, then side PQ =

(i)

8.00 cm
(ii)

10.00 cm
(iii)

18.00 cm
(iv)

13.00 cm
(v)

16.00 cm

Question 25

25.

In a right angled triangle △PQR, if the area is 133 sq.cm and base QR = 19 cm, then corresponding height of side QR =

(i)

14.00 cm
(ii)

9.00 cm
(iii)

11.00 cm
(iv)

17.00 cm
(v)

19.00 cm

Question 26

26.

In a right angled triangle △PQR, if the area is 190 sq.cm and base QR = 19 cm, then corresponding height of side PQ =

(i)

24.00 cm
(ii)

22.00 cm
(iii)

19.00 cm
(iv)

14.00 cm
(v)

16.00 cm

Question 27

27.

In an isosceles right angled triangle △PQR, if QR = 12 cm is one of the equal sides, then side PQ =

(i)

17.00 cm
(ii)

9.00 cm
(iii)

12.00 cm
(iv)

15.00 cm
(v)

7.00 cm

Question 28

28.

In an isosceles right angled triangle △PQR, if QR = 10 cm is one of the equal sides, then corresponding height of side PQ =

(i)

15.00 cm
(ii)

5.00 cm
(iii)

10.00 cm
(iv)

7.00 cm
(v)

13.00 cm

Question 29

29.

In an isosceles right angled triangle △PQR, if QR = 16 cm is one of the equal sides, then area of the triangle =

(i)

132.00 sq.cm
(ii)

140.00 sq.cm
(iii)

110.00 sq.cm
(iv)

121.00 sq.cm
(v)

128.00 sq.cm

Question 30

30.

In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 13 cm, then side QR =

(i)

10.00 cm
(ii)

16.00 cm
(iii)

8.00 cm
(iv)

18.00 cm
(v)

13.00 cm

Question 31

31.

In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 19 cm, then side PQ =

(i)

19.00 cm
(ii)

16.00 cm
(iii)

22.00 cm
(iv)

24.00 cm
(v)

14.00 cm

Question 32

32.

In an isosceles right angled triangle △PQR, if area = 72 sq.cm, then corresponding height of side PQ =

(i)

15.00 cm
(ii)

12.00 cm
(iii)

9.00 cm
(iv)

7.00 cm
(v)

17.00 cm

Question 33

33.

Consider the following triangles. Which two triangles have the same area?

(i)

△QAB and △PAB
(ii)

△QAB and △MAB
(iii)

△QAB and △NAB
(iv)

△NAB and △MAB
(v)

△NAB and △PAB

Question 34

34.

Consider the following triangles. Which two triangles have the same area?

(i)

△EFG and △HIJ
(ii)

△HIJ and △NOP
(iii)

△HIJ and △KLM
(iv)

△EFG and △NOP
(v)

△EFG and △KLM

Assignment Key