EduSahara™ Worksheet

Question 1

1.

In an isosceles triangle △ABC, if base BC = 12 cm and area is 82.49 sq.cm, then corresponding height of side BC =

(i)

10.75 cm
(ii)

13.75 cm
(iii)

18.75 cm
(iv)

16.75 cm
(v)

8.75 cm

Question 2

2.

In an isosceles triangle △ABC, if base BC = 16 cm and area is 101.51 sq.cm, then side CA =

(i)

10.00 cm
(ii)

12.00 cm
(iii)

15.00 cm
(iv)

20.00 cm
(v)

18.00 cm

Question 3

3.

In △PQR, if QR = 12 cm, RP = 17 cm, PQ = 10 cm, then corresponding height of side QR =

(i)

7.82 cm
(ii)

8.82 cm
(iii)

9.82 cm
(iv)

11.82 cm
(v)

10.82 cm

Question 4

4.

In △PQR, if QR = 20 cm, RP = 15 cm and the corresponding height of side QR = 7.26 cm, then area of the triangle =

(i)

67.62 sq.cm
(ii)

75.62 sq.cm
(iii)

77.62 sq.cm
(iv)

69.62 sq.cm
(v)

72.62 sq.cm

Question 5

5.

In an isosceles triangle △ABC, the corresponding height of the side BC is 18.33 cm and area is 146.64 sq.cm, then side AB =

(i)

17.00 cm
(ii)

20.00 cm
(iii)

23.00 cm
(iv)

15.00 cm
(v)

25.00 cm

Question 6

6.

In △PQR, if QR = 10 cm, RP = 11 cm and perimeter = 37 cm, then corresponding height of side QR =

(i)

15.86 cm
(ii)

7.86 cm
(iii)

10.86 cm
(iv)

13.86 cm
(v)

5.86 cm

Question 7

7.

In △PQR, if QR = 10 cm, RP = 14 cm and perimeter = 34 cm, then area of the triangle =

(i)

52.99 sq.cm
(ii)

49.99 sq.cm
(iii)

44.99 sq.cm
(iv)

46.99 sq.cm
(v)

54.99 sq.cm

Question 8

8.

In an isosceles triangle △ABC, if BC = 20 cm, CA = AB and perimeter is 54 cm, then corresponding height of side BC =

(i)

16.75 cm
(ii)

10.75 cm
(iii)

8.75 cm
(iv)

13.75 cm
(v)

18.75 cm

Question 9

9.

In an isosceles triangle △ABC, if base BC = 17 cm and area is 115.22 sq.cm, then corresponding height of side CA =

(i)

14.40 cm
(ii)

9.40 cm
(iii)

17.40 cm
(iv)

19.40 cm
(v)

11.40 cm

Question 10

10.

In an isosceles triangle △ABC, if base BC = 16 cm and the corresponding height is 12.69 cm, then side AB =

(i)

10.00 cm
(ii)

20.00 cm
(iii)

12.00 cm
(iv)

18.00 cm
(v)

15.00 cm

Question 11

11.

In △PQR, if QR = 13 cm, RP = 16 cm, PQ = 10 cm, then corresponding height of side RP =

(i)

9.11 cm
(ii)

7.11 cm
(iii)

6.11 cm
(iv)

10.11 cm
(v)

8.11 cm

Question 12

12.

A triangle and a parallelogram, both have the same base and the same area. If the sides of the triangle are 19 cm, 19 cm and 13 cm, and the parallelogram stands on the base 19 cm, find the height of the parallelogram

(i)

7.11 cm
(ii)

8.11 cm
(iii)

4.11 cm
(iv)

5.11 cm
(v)

6.11 cm

Question 13

13.

In an isosceles triangle △ABC, if base BC = 10 cm and the corresponding height is 12 cm, then corresponding height of side CA =

(i)

11.23 cm
(ii)

7.23 cm
(iii)

8.23 cm
(iv)

9.23 cm
(v)

10.23 cm

Question 14

14.

In △PQR, if QR = 16 cm, RP = 18 cm, PQ = 13 cm, then corresponding height of side PQ =

(i)

20.52 cm
(ii)

15.52 cm
(iii)

10.52 cm
(iv)

18.52 cm
(v)

12.52 cm

Question 15

15.

In △PQR, if QR = 13 cm, RP = 12 cm, PQ = 18 cm, then area of the triangle =

(i)

82.95 sq.cm
(ii)

72.95 sq.cm
(iii)

77.95 sq.cm
(iv)

74.95 sq.cm
(v)

80.95 sq.cm

Question 16

16.

In an isosceles triangle △ABC, the corresponding height of the side BC is 16.97 cm and area is 101.82 sq.cm, then corresponding height of side AB =

(i)

16.31 cm
(ii)

8.31 cm
(iii)

14.31 cm
(iv)

11.31 cm
(v)

6.31 cm

Question 17

17.

In △PQR, if QR = 12 cm, RP = 13 cm and the corresponding height of side QR = 10.93 cm, then side PQ =

(i)

12.00 cm
(ii)

17.00 cm
(iii)

7.00 cm
(iv)

15.00 cm
(v)

9.00 cm

Question 18

18.

In an isosceles triangle △ABC, if BC = 18 cm, AB = CA = 13 cm, then area of the triangle =

(i)

87.43 sq.cm
(ii)

79.43 sq.cm
(iii)

84.43 sq.cm
(iv)

89.43 sq.cm
(v)

81.43 sq.cm

Question 19

19.

In an isosceles triangle △ABC, if base BC = 11 cm and area is 70.81 sq.cm, then side AB =

(i)

14.00 cm
(ii)

11.00 cm
(iii)

17.00 cm
(iv)

19.00 cm
(v)

9.00 cm

Question 20

20.

The sides of a triangular plot are in the ratio
10

:

11

:

20

and perimeter is
410 m
. Find its area

(i)

3197.56 sq.m
(ii)

3027.56 sq.m
(iii)

3047.56 sq.m
(iv)

3367.56 sq.m
(v)

3437.56 sq.m

Question 21

21.

In an isosceles triangle △ABC, the corresponding height of the side BC is 11.49 cm and area is 91.91 sq.cm, then side CA =

(i)

14.00 cm
(ii)

19.00 cm
(iii)

9.00 cm
(iv)

11.00 cm
(v)

17.00 cm

Question 22

22.

Rita has a triangular field with sides 60 m, 160 m and 120 m. She wanted to grow brinjals and cabbages. She divided the field into two parts by joining the mid-point of the longest side to the opposite vertex, and grew brinjals in one part and cabbages in the other part. How much area has been used for cabbages.

(i)

1528.89 sq.m
(ii)

1548.89 sq.m
(iii)

1298.89 sq.m
(iv)

1488.89 sq.m
(v)

1748.89 sq.m

Question 23

23.

A field is in the shape of a trapezium whose parallel sides are 37 m and 15 m. The non parallel sides are 24 m and 10 m. Find the area of the field.

(i)

271.96 sq.m
(ii)

256.96 sq.m
(iii)

231.96 sq.m
(iv)

259.96 sq.m
(v)

284.96 sq.m

Question 24

24.

In an isosceles triangle △ABC, if BC = 17 cm, CA = AB and perimeter is 47 cm, then corresponding height of side AB =

(i)

11.01 cm
(ii)

19.01 cm
(iii)

17.01 cm
(iv)

9.01 cm
(v)

14.01 cm

Question 25

25.

In an isosceles triangle △ABC, if base BC = 16 cm and the corresponding height is 8.94 cm, then side CA =

(i)

9.00 cm
(ii)

12.00 cm
(iii)

17.00 cm
(iv)

15.00 cm
(v)

7.00 cm

Assignment Key