ICSE Board Practice

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ICSE Grade IX - Pythagoras Theorem
Question 1
1.
In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 12 cm, then side RP =
  • 11.97 cm
  • 21.97 cm
  • 16.97 cm
  • 13.97 cm
  • 19.97 cm
Question 2
2.
In an isosceles right angled triangle △PQR, if QR = 13 cm is one of the equal sides, then area of the triangle =
  • 81.50 sq.cm
  • 89.50 sq.cm
  • 79.50 sq.cm
  • 84.50 sq.cm
  • 87.50 sq.cm
Question 3
3.
In the given figure,  △DEF, DG ⟂ EF. Which of the following are true?
a)
    • DG
      2
    • =
    • 2
    • EG
    • .
    • FG
b)
    • DE
      2
    • −
    • DF
      2
    • =
    • EG
      2
    • −
    • FG
      2
c)
    • DE
      2
    • +
    • EG
      2
    • =
    • DF
      2
    • +
    • FG
      2
d)
    • DE
      2
    • −
    • EG
      2
    • =
    • DF
      2
    • −
    • FG
      2
e)
    • DE
      2
    • +
    • DF
      2
    • =
    • EG
      2
    • +
    • FG
      2
  • {a,b}
  • {e,a,b}
  • {c,d,b}
  • {b,d}
  • {c,d}
Question 4
4.
In a right angled triangle △PQR, if the area is 85 sq.cm and base QR = 17 cm, then corresponding height of side QR =
  • 7.00 cm
  • 10.00 cm
  • 13.00 cm
  • 5.00 cm
  • 15.00 cm
Question 5
5.
In an equilateral triangle ABC, the side BC is trisected at D. Then
      • 7 AD
        2
      • =
      • 9 AB
        2
      • 7 AD
        2
      • =
      • 3 AB
        2
      • 3 AD
        2
      • =
      • 7 AB
        2
      • 9 AD
        2
      • =
      • 7 AB
        2
Question 6
6.
In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 13 cm, then side PQ =
  • 8.00 cm
  • 13.00 cm
  • 16.00 cm
  • 18.00 cm
  • 10.00 cm
Question 7
7.
In a right angled triangle △PQR, if QR = 18 cm is one of the perpendicular sides and RP = 26.91 cm is the hypotenuse, then corresponding height of side QR =
  • 23.00 cm
  • 15.00 cm
  • 20.00 cm
  • 17.00 cm
  • 25.00 cm
Question 8
8.
In a right angled triangle △PQR, if the base QR = 20 cm and the corresponding height is 13 cm, then corresponding height of side RP =
  • 10.90 cm
  • 5.90 cm
  • 15.90 cm
  • 13.90 cm
  • 7.90 cm
Question 9
9.
In a right angled triangle △PQR, if the base QR = 12 cm and the corresponding height is 16 cm, then area of the triangle =
  • 99.00 sq.cm
  • 96.00 sq.cm
  • 93.00 sq.cm
  • 101.00 sq.cm
  • 91.00 sq.cm
Question 10
10.
In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 19 cm, then perimeter of the triangle =
  • 64.87 cm
  • 69.87 cm
  • 67.87 cm
  • 61.87 cm
  • 59.87 cm