EduSahara™ Worksheet

Question 1

1.

In an isosceles triangle △ABC, if base BC = 12 cm and the corresponding height is 8 cm, then side CA =

(i)

13.00 cm
(ii)

15.00 cm
(iii)

10.00 cm
(iv)

7.00 cm
(v)

5.00 cm

Question 2

2.

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

(i)

6.06 cm
(ii)

11.06 cm
(iii)

16.06 cm
(iv)

14.06 cm
(v)

8.06 cm

Question 3

3.

A rhombus shaped field has green grass for 16 cows to graze. If the perimeter of the field is 520.00 m and one of the diagonals is 90 m, how much area of the grass field will each cow be grazing?

(i)

700.02 sq.m
(ii)

662.02 sq.m
(iii)

669.02 sq.m
(iv)

698.02 sq.m
(v)

686.02 sq.m

Question 4

4.

In △PQR, if QR = 14 cm, RP = 18 cm and the corresponding height of side QR = 16.58 cm, then side PQ =

(i)

18.00 cm
(ii)

23.00 cm
(iii)

15.00 cm
(iv)

13.00 cm
(v)

21.00 cm

Question 5

5.

In △PQR, if QR = 15 cm, RP = 17 cm and perimeter = 52 cm, then area of the triangle =

(i)

102.27 sq.cm
(ii)

124.27 sq.cm
(iii)

129.27 sq.cm
(iv)

118.27 sq.cm
(v)

151.27 sq.cm

Question 6

6.

Teena has a triangular field with sides 50 m, 200 m and 180 m. She wanted to grow cabbages and radish. She divided the field into two parts by joining the mid-point of the longest side to the opposite vertex, and grew cabbages in one part and radish in the other part. How much area has been used for radish.

(i)

2137.80 sq.m
(ii)

2197.80 sq.m
(iii)

2397.80 sq.m
(iv)

2157.80 sq.m
(v)

1987.80 sq.m

Question 7

7.

A floral design on a floor is made up of 11 triangular shaped tiles. The sides of each tile are 19 cm, 20 cm and 26 cm. If the cost of polishing the tiles is ₹4.00 per sq cm, find the total cost to polishing all the tiles.

(i)

₹8437.55
(ii)

₹8307.55
(iii)

₹8167.55
(iv)

₹8457.55
(v)

₹8087.55

Question 8

8.

A triangular park has sides 150 m, 200 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)

10680.34 sq.m
(ii)

11180.34 sq.m
(iii)

8780.34 sq.m
(iv)

13880.34 sq.m
(v)

11580.34 sq.m

Question 9

9.

In an isosceles triangle △ABC, if BC = 16 cm, AB = CA = 15 cm, then corresponding height of side BC =

(i)

17.69 cm
(ii)

7.69 cm
(iii)

9.69 cm
(iv)

15.69 cm
(v)

12.69 cm

Question 10

10.

In an isosceles triangle △ABC, the corresponding height of the side BC is 15.29 cm and area is 145.24 sq.cm, then corresponding height of side AB =

(i)

19.14 cm
(ii)

13.14 cm
(iii)

16.14 cm
(iv)

21.14 cm
(v)

11.14 cm

Question 11

11.

In an isosceles triangle △ABC, if BC = 19 cm, CA = AB and perimeter is 49 cm, then area of the triangle =

(i)

110.28 sq.cm
(ii)

116.28 sq.cm
(iii)

93.28 sq.cm
(iv)

98.28 sq.cm
(v)

125.28 sq.cm

Question 12

12.

In an isosceles triangle △ABC, if base BC = 15 cm and area is 70.26 sq.cm, then side AB =

(i)

15.00 cm
(ii)

9.00 cm
(iii)

7.00 cm
(iv)

17.00 cm
(v)

12.00 cm

Question 13

13.

In △PQR, if QR = 17 cm, RP = 16 cm, PQ = 16 cm, then corresponding height of side PQ =

(i)

19.40 cm
(ii)

17.40 cm
(iii)

9.40 cm
(iv)

11.40 cm
(v)

14.40 cm

Question 14

14.

In △PQR, if QR = 16 cm, RP = 16 cm, PQ = 17 cm, then corresponding height of side RP =

(i)

9.40 cm
(ii)

17.40 cm
(iii)

19.40 cm
(iv)

11.40 cm
(v)

14.40 cm

Question 15

15.

Some volunteers on a cleanliness drive decided to clean an open ground in the shape of a quadrilateral ABCD, where AB = 17.00 m, BC = 16.00 m, CD = 16.00 m, and DA = 15.00 m. They split into two groups m and n and started cleaning on either sides of the diagonal BD. Group m marked their perimeter which is of length 46 m. Which group cleaned more area ? Find the total area cleaned by both groups.

(i)
group n

,

193.41 sq.m
(ii)
group n

,

215.41 sq.m
(iii)
group m

,

176.41 sq.m
(iv)
group n

,

200.41 sq.m
(v)
group n

,

218.41 sq.m

Question 16

16.

In △PQR, if QR = 14 cm, RP = 14 cm and the corresponding height of side QR = 13.96 cm, then perimeter of the triangle =

(i)

52.00 cm
(ii)

47.00 cm
(iii)

50.00 cm
(iv)

44.00 cm
(v)

42.00 cm

Question 17

17.

The sides of a triangular plot are in the ratio
6

:

10

:

9

and perimeter is
250 m
. Find its area

(i)

2416.34 sq.m
(ii)

2796.34 sq.m
(iii)

2666.34 sq.m
(iv)

2586.34 sq.m
(v)

2936.34 sq.m

Question 18

18.

A triangular park has sides 110 m, 140 m and 190 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 ₹17 per metre leaving a space of 3 m wide for the gate on one side.

(i)

₹7199.00
(ii)

₹7369.00
(iii)

₹7609.00
(iv)

₹7429.00

Question 19

19.

In an isosceles triangle △ABC, if base BC = 16 cm and area is 91.91 sq.cm, then corresponding height of side BC =

(i)

11.49 cm
(ii)

14.49 cm
(iii)

8.49 cm
(iv)

6.49 cm
(v)

16.49 cm

Question 20

20.

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

(i)

10.56 cm
(ii)

13.56 cm
(iii)

18.56 cm
(iv)

8.56 cm
(v)

16.56 cm

Question 21

21.

In an isosceles triangle △ABC, if base BC = 10 cm and the corresponding height is 14.14 cm, then corresponding height of side AB =

(i)

8.43 cm
(ii)

9.43 cm
(iii)

7.43 cm
(iv)

11.43 cm
(v)

10.43 cm

Question 22

22.

In an isosceles triangle △ABC, if BC = 20 cm, CA = AB and perimeter is 46 cm, then corresponding height of side AB =

(i)

12.78 cm
(ii)

7.78 cm
(iii)

9.78 cm
(iv)

17.78 cm
(v)

15.78 cm

Question 23

23.

In an isosceles triangle △ABC, if BC = 13 cm, CA = AB and perimeter is 49 cm, then corresponding height of side CA =

(i)

9.12 cm
(ii)

17.12 cm
(iii)

15.12 cm
(iv)

12.12 cm
(v)

7.12 cm

Question 24

24.

A triangle and a parallelogram, both have the same base and the same area. If the sides of the triangle are 16 cm, 17 cm and 26 cm, and the parallelogram stands on the base 17 cm, find the height of the parallelogram

(i)

8.76 cm
(ii)

5.76 cm
(iii)

6.76 cm
(iv)

7.76 cm
(v)

9.76 cm

Question 25

25.

In △PQR, if QR = 16 cm, RP = 14 cm, PQ = 12 cm, then corresponding height of side QR =

(i)

13.17 cm
(ii)

5.17 cm
(iii)

15.17 cm
(iv)

7.17 cm
(v)

10.17 cm

Assignment Key