CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade IX - Heron's Formula
Question 1
1.
In an isosceles triangle △ABC, the corresponding height of the side BC is 9.84 cm and area is 83.61 sq.cm, then corresponding height of side AB =
  • 7.86 cm
  • 9.86 cm
  • 17.86 cm
  • 15.86 cm
  • 12.86 cm
Question 2
2.
In an isosceles triangle △ABC, if base BC = 12 cm and area is 101.82 sq.cm, then side CA =
  • 23.00 cm
  • 13.00 cm
  • 18.00 cm
  • 21.00 cm
  • 15.00 cm
Question 3
3.
In an isosceles triangle △ABC, if BC = 17 cm, CA = AB and perimeter is 41 cm, then area of the triangle =
  • 77.00 sq.cm
  • 72.00 sq.cm
  • 75.00 sq.cm
  • 69.00 sq.cm
  • 67.00 sq.cm
Question 4
4.
In △PQR, if QR = 18 cm, RP = 20 cm and the corresponding height of side QR = 11.85 cm, then corresponding height of side PQ =
  • 12.78 cm
  • 14.78 cm
  • 20.78 cm
  • 22.78 cm
  • 17.78 cm
Question 5
5.
In △PQR, if QR = 18 cm, RP = 19 cm and the corresponding height of side QR = 14.06 cm, then perimeter of the triangle =
  • 57.00 cm
  • 52.00 cm
  • 47.00 cm
  • 55.00 cm
  • 49.00 cm
Question 6
6.
Some volunteers on a cleanliness drive decided to clean an open ground in the shape of a quadrilateral ABCD, where AB = 12.00 m, BC = 13.00 m, CD = 10.00 m, and DA = 19.00 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 48 m. Which group cleaned more area ? Find the total area cleaned by both groups.
      • group n
      • ,
      • 158.16 sq.m
      • group n
      • ,
      • 192.16 sq.m
      • group m
      • ,
      • 150.16 sq.m
      • group m
      • ,
      • 165.16 sq.m
      • group n
      • ,
      • 173.16 sq.m
Question 7
7.
In an isosceles triangle △ABC, the corresponding height of the side BC is 10.09 cm and area is 65.57 sq.cm, then side AB =
  • 15.00 cm
  • 17.00 cm
  • 7.00 cm
  • 9.00 cm
  • 12.00 cm
Question 8
8.
In △PQR, if QR = 20 cm, RP = 15 cm and the corresponding height of side QR = 12.43 cm, then side PQ =
  • 20.00 cm
  • 17.00 cm
  • 22.00 cm
  • 14.00 cm
  • 12.00 cm
Question 9
9.
A triangular park has sides 130 m, 170 m and 200 m. A gardener has to put a fence all around it and also plant grass inside. How much area does he need to plant ?
  • 10954.45 sq.m
  • 8454.45 sq.m
  • 13654.45 sq.m
  • 11754.45 sq.m
  • 10554.45 sq.m
Question 10
10.
In an isosceles triangle △ABC, if base BC = 20 cm and area is 83.07 sq.cm, then corresponding height of side BC =
  • 10.31 cm
  • 6.31 cm
  • 8.31 cm
  • 9.31 cm
  • 7.31 cm