CBSE Board Practice

CBSE Grade IX - Heron's Formula
Question 1
1.
In an isosceles triangle △ABC, if base BC = 10 cm and area is 70.71 sq.cm, then side AB =
  • 18.00 cm
  • 15.00 cm
  • 20.00 cm
  • 12.00 cm
  • 10.00 cm
Question 2
2.
In an isosceles triangle △ABC, if BC = 16 cm, AB = CA = 18 cm, then corresponding height of side CA =
  • 9.33 cm
  • 14.33 cm
  • 11.33 cm
  • 19.33 cm
  • 17.33 cm
Question 3
3.
A traffic sign board is in the shape of an equilateral triangle . If its perimeter is 51 cm, what is its area ?
  • 107.14 sq.cm
  • 150.14 sq.cm
  • 108.14 sq.cm
  • 125.14 sq.cm
  • 133.14 sq.cm
Question 4
4.
In an isosceles triangle △ABC, the corresponding height of the side BC is 11.78 cm and area is 64.79 sq.cm, then corresponding height of side AB =
  • 11.97 cm
  • 8.97 cm
  • 7.97 cm
  • 10.97 cm
  • 9.97 cm
Question 5
5.
In an isosceles triangle △ABC, the corresponding height of the side BC is 13.56 cm and area is 115.22 sq.cm, then side CA =
  • 13.00 cm
  • 19.00 cm
  • 11.00 cm
  • 16.00 cm
  • 21.00 cm
Question 6
6.
In △PQR, if QR = 19 cm, RP = 16 cm, PQ = 13 cm, then corresponding height of side QR =
  • 13.82 cm
  • 10.82 cm
  • 7.82 cm
  • 5.82 cm
  • 15.82 cm
Question 7
7.
In an isosceles triangle △ABC, if base BC = 18 cm and the corresponding height is 9.38 cm, then corresponding height of side AB =
  • 7.99 cm
  • 12.99 cm
  • 17.99 cm
  • 9.99 cm
  • 15.99 cm
Question 8
8.
In △PQR, if QR = 13 cm, RP = 12 cm and the corresponding height of side QR = 10.65 cm, then area of the triangle =
  • 72.20 sq.cm
  • 66.20 sq.cm
  • 69.20 sq.cm
  • 74.20 sq.cm
  • 64.20 sq.cm
Question 9
9.
In an isosceles triangle △ABC, if BC = 19 cm, CA = AB and perimeter is 43 cm, then corresponding height of side CA =
  • 8.61 cm
  • 14.61 cm
  • 11.61 cm
  • 6.61 cm
  • 16.61 cm
Question 10
10.
In an isosceles triangle △ABC, the corresponding height of the side BC is 16.79 cm and area is 109.11 sq.cm, then side BC =
  • 13.00 cm
  • 8.00 cm
  • 18.00 cm
  • 16.00 cm
  • 10.00 cm