EduSahara™ Worksheet

Question 1

1.

A floral design on a floor is made up of 19 triangular shaped tiles. The sides of each tile are 20 cm, 27 cm and 29 cm. If the cost of polishing the tiles is ₹5.00 per sq cm, find the total cost to polishing all the tiles.

(i)

₹22921.18
(ii)

₹26121.18
(iii)

₹23221.18
(iv)

₹24721.18
(v)

₹25421.18

Question 2

2.

In an isosceles triangle △ABC, the corresponding height of the side BC is 7.6 cm and area is 49.4 sq.cm, then side CA =

(i)

15.00 cm
(ii)

7.00 cm
(iii)

13.00 cm
(iv)

10.00 cm
(v)

5.00 cm

Question 3

3.

A triangular park has sides 170 m, 110 m and 150 m. A gardener has to put a fence all around it and also plant grass inside. How much area does he need to plant ?

(i)

8356.00 sq.m
(ii)

7976.00 sq.m
(iii)

7986.00 sq.m
(iv)

8166.00 sq.m
(v)

8126.00 sq.m

Question 4

4.

A triangular park has sides 120 m, 120 m and 160 m. A gardener has to put a fence all around it and also plant grass inside. Find the cost of fencing it with barbed wire at the rate of ₹25 per metre leaving a space of 5 m wide for the gate on one side.

(i)

₹10095.00
(ii)

₹9875.00
(iii)

₹9735.00
(iv)

₹10035.00
(v)

₹9595.00

Question 5

5.

In an isosceles triangle △ABC, if base BC = 17 cm and the corresponding height is 8.47 cm, then corresponding height of side CA =

(i)

12.00 cm
(ii)

15.00 cm
(iii)

7.00 cm
(iv)

9.00 cm
(v)

17.00 cm

Question 6

6.

In △PQR, if QR = 16 cm, RP = 15 cm and perimeter = 44 cm, then area of the triangle =

(i)

88.19 sq.cm
(ii)

94.19 sq.cm
(iii)

86.19 sq.cm
(iv)

91.19 sq.cm
(v)

96.19 sq.cm

Question 7

7.

In an isosceles triangle △ABC, if base BC = 19 cm and the corresponding height is 5.55 cm, then corresponding height of side AB =

(i)

8.58 cm
(ii)

11.58 cm
(iii)

7.58 cm
(iv)

9.58 cm
(v)

10.58 cm

Question 8

8.

In an isosceles triangle △ABC, if base BC = 12 cm and area is 108.17 sq.cm, then side AB =

(i)

14.00 cm
(ii)

19.00 cm
(iii)

16.00 cm
(iv)

24.00 cm
(v)

22.00 cm

Question 9

9.

In an isosceles triangle △ABC, the corresponding height of the side BC is 11.78 cm and area is 64.79 sq.cm, then side BC =

(i)

11.00 cm
(ii)

16.00 cm
(iii)

6.00 cm
(iv)

14.00 cm
(v)

8.00 cm

Question 10

10.

A field is in the shape of a trapezium whose parallel sides are 14 m and 4 m. The non parallel sides are 21 m and 15 m. Find the area of the field.

(i)

141.50 sq.m
(ii)

124.50 sq.m
(iii)

129.50 sq.m
(iv)

100.50 sq.m
(v)

120.50 sq.m

Question 11

11.

In an isosceles triangle △ABC, if BC = 13 cm, AB = CA = 16 cm, then corresponding height of side CA =

(i)

11.88 cm
(ii)

16.88 cm
(iii)

14.88 cm
(iv)

6.88 cm
(v)

8.88 cm

Question 12

12.

In an isosceles triangle △ABC, the corresponding height of the side BC is 16.12 cm and area is 129 sq.cm, then corresponding height of side AB =

(i)

19.33 cm
(ii)

9.33 cm
(iii)

17.33 cm
(iv)

11.33 cm
(v)

14.33 cm

Question 13

13.

In an isosceles triangle △ABC, if base BC = 16 cm and area is 71.55 sq.cm, then corresponding height of side BC =

(i)

8.94 cm
(ii)

7.94 cm
(iii)

10.94 cm
(iv)

9.94 cm
(v)

6.94 cm

Question 14

14.

Bhavani has a triangular field with sides 180 m, 180 m and 170 m. She wanted to grow radish and tomatoes. She divided the field into two parts by joining the mid-point of the longest side to the opposite vertex, and grew radish in one part and tomatoes in the other part. How much area has been used for radish.

(i)

6793.32 sq.m
(ii)

6503.32 sq.m
(iii)

6723.32 sq.m
(iv)

6743.32 sq.m
(v)

6883.32 sq.m

Question 15

15.

In △PQR, if QR = 16 cm, RP = 19 cm and the corresponding height of side QR = 12.85 cm, then corresponding height of side PQ =

(i)

20.81 cm
(ii)

10.81 cm
(iii)

12.81 cm
(iv)

18.81 cm
(v)

15.81 cm

Question 16

16.

The sides of a triangular plot are in the ratio
19

:

13

:

14

and perimeter is
460 m
. Find its area

(i)

9099.45 sq.m
(ii)

8979.45 sq.m
(iii)

9129.45 sq.m
(iv)

9339.45 sq.m
(v)

8839.45 sq.m

Question 17

17.

In an isosceles triangle △ABC, the corresponding height of the side BC is 11.61 cm and area is 110.28 sq.cm, then side AB =

(i)

18.00 cm
(ii)

20.00 cm
(iii)

10.00 cm
(iv)

15.00 cm
(v)

12.00 cm

Question 18

18.

In an isosceles triangle △ABC, if base BC = 20 cm and area is 66.33 sq.cm, then corresponding height of side CA =

(i)

14.06 cm
(ii)

16.06 cm
(iii)

8.06 cm
(iv)

11.06 cm
(v)

6.06 cm

Question 19

19.

In △PQR, if QR = 18 cm, RP = 11 cm, PQ = 11 cm, then corresponding height of side PQ =

(i)

15.35 cm
(ii)

13.35 cm
(iii)

10.35 cm
(iv)

7.35 cm
(v)

5.35 cm

Question 20

20.

In an isosceles triangle △ABC, if base BC = 12 cm and the corresponding height is 9.22 cm, then area of the triangle =

(i)

58.32 sq.cm
(ii)

50.32 sq.cm
(iii)

60.32 sq.cm
(iv)

55.32 sq.cm
(v)

52.32 sq.cm

Question 21

21.

In an isosceles triangle △ABC, if BC = 17 cm, CA = AB and perimeter is 37 cm, then corresponding height of side CA =

(i)

10.96 cm
(ii)

7.96 cm
(iii)

6.96 cm
(iv)

9.96 cm
(v)

8.96 cm

Question 22

22.

In △PQR, if QR = 13 cm, RP = 10 cm, PQ = 18 cm, then corresponding height of side QR =

(i)

7.77 cm
(ii)

8.77 cm
(iii)

9.77 cm
(iv)

11.77 cm
(v)

10.77 cm

Question 23

23.

In △PQR, if QR = 19 cm, RP = 14 cm, PQ = 17 cm, then corresponding height of side RP =

(i)

21.41 cm
(ii)

19.41 cm
(iii)

16.41 cm
(iv)

11.41 cm
(v)

13.41 cm

Question 24

24.

In an isosceles triangle △ABC, the corresponding height of the side BC is 14.1 cm and area is 133.93 sq.cm, then corresponding height of side CA =

(i)

20.76 cm
(ii)

10.76 cm
(iii)

18.76 cm
(iv)

15.76 cm
(v)

12.76 cm

Question 25

25.

In △PQR, if QR = 11 cm, RP = 18 cm and the corresponding height of side QR = 12.91 cm, then perimeter of the triangle =

(i)

39.00 cm
(ii)

42.00 cm
(iii)

37.00 cm
(iv)

47.00 cm
(v)

45.00 cm

Assignment Key