ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Pythagoras Theorem
Question 1
1.
In a right angled triangle, if one of the angles is 49.76°, find the third angle
  • 55.24°
  • 50.24°
  • 40.24°
  • 45.24°
  • 70.24°
Question 2
2.
In the given figure, △BCD is a triangle with BE being the median of CD. Then
      • BC
        2
      • +
      • BD
        2
      • =
      • 2
      • CE
        2
      • +
      • 2
      • BE
        2
      • BC
        2
      • +
      • BD
        2
      • =
      • 2
      • ED
        2
      • +
      • 2
      • BE
        2
      • BC
        2
      • +
      • BD
        2
      • =
      • 2
      • CE
        2
      • +
      • 2
      • ED
        2
      • BC
        2
      • +
      • BD
        2
      • =
      • CD
        2
      • BC
        2
      • +
      • BD
        2
      • =
      • BE
        2
Question 3
3.
In a right angled triangle △PQR, if the base QR = 19 cm and the corresponding height is 10 cm, then corresponding height of side RP =
  • 10.85 cm
  • 7.85 cm
  • 8.85 cm
  • 9.85 cm
  • 6.85 cm
Question 4
4.
In a right angled triangle △PQR, if QR = 11 cm, PQ = 19 cm are the lengths of perpendicular sides , then area of the triangle =
  • 78.50 sq.cm
  • 104.50 sq.cm
  • 126.50 sq.cm
  • 111.50 sq.cm
  • 102.50 sq.cm
Question 5
5.
In a right angled triangle △PQR, if QR = 14 cm is one of the perpendicular sides and RP = 18.44 cm is the hypotenuse, then perimeter of the triangle =
  • 47.44 cm
  • 44.44 cm
  • 49.44 cm
  • 41.44 cm
  • 39.44 cm
Question 6
6.
In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 19 cm, then corresponding height of side RP =
  • 10.44 cm
  • 8.44 cm
  • 16.44 cm
  • 13.44 cm
  • 18.44 cm
Question 7
7.
In a right angled triangle △PQR, if the base QR = 10 cm and the corresponding height is 13 cm, then perimeter of the triangle =
  • 44.40 cm
  • 36.40 cm
  • 39.40 cm
  • 42.40 cm
  • 34.40 cm
Question 8
8.
In an isosceles right angled triangle △PQR, if RP = 26.87 cm is the hypotenuse, then corresponding height of side RP =
  • 18.44 cm
  • 8.44 cm
  • 13.44 cm
  • 16.44 cm
  • 10.44 cm
Question 9
9.
In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 16 cm, then side RP =
  • 17.63 cm
  • 22.63 cm
  • 27.63 cm
  • 25.63 cm
  • 19.63 cm
Question 10
10.
In a right angled triangle △PQR, if the area is 80 sq.cm and base QR = 10 cm, then side RP =
  • 18.87 cm
  • 21.87 cm
  • 15.87 cm
  • 13.87 cm
  • 23.87 cm