ICSE Board Practice

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ICSE Grade IX - Pythagoras Theorem
Question 1
1.
In an isosceles right angled triangle △PQR, if RP = 16.97 cm is the hypotenuse, then perimeter of the triangle =
  • 43.97 cm
  • 45.97 cm
  • 35.97 cm
  • 40.97 cm
  • 37.97 cm
Question 2
2.
In a right angled triangle △PQR, if QR = 17 cm, PQ = 20 cm are the lengths of perpendicular sides , then area of the triangle =
  • 168.00 sq.cm
  • 177.00 sq.cm
  • 155.00 sq.cm
  • 183.00 sq.cm
  • 170.00 sq.cm
Question 3
3.
Two poles of heights 8 m and 13 m stand vertically on a plane ground. If the distance between their feet is 10 m, find the distance between their tops
  • 13.18 m
  • 10.18 m
  • 11.18 m
  • 9.18 m
  • 12.18 m
Question 4
4.
In a right angled triangle △PQR, if the area is 85 sq.cm and base QR = 17 cm, then side RP =
  • 24.72 cm
  • 14.72 cm
  • 19.72 cm
  • 22.72 cm
  • 16.72 cm
Question 5
5.
In an isosceles right angled triangle △PQR, if QR = 19 cm is one of the equal sides, then side PQ =
  • 16.00 cm
  • 24.00 cm
  • 14.00 cm
  • 22.00 cm
  • 19.00 cm
Question 6
6.
The foot of a ladder resting on a wall from the foot of the wall is 15 m. If the height of the top of the ladder from ground is 11 m, find the length of the ladder
  • 17.60 m
  • 20.60 m
  • 18.60 m
  • 16.60 m
  • 19.60 m
Question 7
7.
In a right angled triangle △PQR, if the area is 91 sq.cm and corresponding height of side QR = 13 cm, then side RP =
  • 22.10 cm
  • 16.10 cm
  • 19.10 cm
  • 14.10 cm
  • 24.10 cm
Question 8
8.
In an isosceles right angled triangle △PQR, if RP = 25.46 cm is the hypotenuse, then side PQ =
  • 21.00 cm
  • 13.00 cm
  • 15.00 cm
  • 18.00 cm
  • 23.00 cm
Question 9
9.
    • In the given figure,
    • △EGF
    • is right-angled at
    • G
    • .
    • Q
    • is the mid-point of
    • EG
    • and
    • R
    • is the mid-point of
    • FG
    • .
    • Which of the following cases are true?
a)
    • 4
    • ER
      2
    • =
    • 4
    • FG
      2
    • +
    • EG
      2
b)
    • 4 (
    • ER
      2
    • +
    • FQ
      2
    • ) =
    • 5
    • EF
      2
c)
    • 4
    • ER
      2
    • =
    • 4
    • EG
      2
    • +
    • FG
      2
d)
    • 4
    • FQ
      2
    • =
    • 4
    • EG
      2
    • +
    • FG
      2
e)
    • 4
    • FQ
      2
    • =
    • 4
    • FG
      2
    • +
    • EG
      2
  • {a,b,c}
  • {a,b}
  • {b,c,e}
  • {a,d,e}
  • {d,c}
Question 10
10.
In an isosceles right angled triangle △PQR, if QR = 20 cm is one of the equal sides, then area of the triangle =
  • 200.00 sq.cm
  • 194.00 sq.cm
  • 204.00 sq.cm
  • 217.00 sq.cm
  • 187.00 sq.cm