CBSE Board Practice

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CBSE Grade IX - Heron's Formula

Question 1

1.	In △PQR, if QR = 15 cm, RP = 17 cm and the corresponding height of side QR = 14.66 cm, then corresponding height of side RP =
	9.94 cm 12.94 cm 7.94 cm 17.94 cm 15.94 cm

Question 2

2.	The sides of a triangular plot are in the ratio 15 : 9 : 11 and perimeter is 350 m . Find its area
	4846.49 sq.m 4636.49 sq.m 5066.49 sq.m 4976.49 sq.m 4916.49 sq.m

Question 3

3.	In an isosceles triangle △ABC, if base BC = 12 cm and area is 108.17 sq.cm, then corresponding height of side CA =
	11.39 cm 14.39 cm 6.39 cm 16.39 cm 8.39 cm

Question 4

4.	In △PQR, if QR = 14 cm, RP = 17 cm, PQ = 20 cm, then corresponding height of side QR =
	19.73 cm 16.73 cm 13.73 cm 21.73 cm 11.73 cm

Question 5

5.	A floral design on a floor is made up of 19 triangular shaped tiles. The sides of each tile are 12 cm, 28 cm and 26 cm. If the cost of polishing the tiles is ₹2.00 per sq cm, find the total cost to polishing all the tiles.
	₹5858.13 ₹5658.13 ₹6048.13 ₹5938.13 ₹5918.13

Question 6

6.	A field is in the shape of a trapezium whose parallel sides are 24 m and 8 m. The non parallel sides are 13 m and 23 m. Find the area of the field.
	187.40 sq.m 201.40 sq.m 206.40 sq.m 224.40 sq.m 179.40 sq.m

Question 7

7.	In △PQR, if QR = 17 cm, RP = 17 cm and the corresponding height of side QR = 11.23 cm, then perimeter of the triangle =
	49.00 cm 46.00 cm 43.00 cm 51.00 cm 41.00 cm

Question 8

8.	In an isosceles triangle △ABC, if base BC = 10 cm and the corresponding height is 12 cm, then side CA =
	8.00 cm 18.00 cm 16.00 cm 13.00 cm 10.00 cm

Question 9

9.	In an isosceles triangle △ABC, if base BC = 12 cm and area is 101.82 sq.cm, then side CA =
	21.00 cm 18.00 cm 15.00 cm 23.00 cm 13.00 cm

Question 10

10.	In △PQR, if QR = 16 cm, RP = 17 cm and perimeter = 49 cm, then corresponding height of side QR =
	19.40 cm 17.40 cm 14.40 cm 9.40 cm 11.40 cm

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