ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VI - Triangles
Question 1
1.
Which of the following are measures of an acute angled triangle ?
  • ∠O = 36.25° , ∠P = 90° , ∠Q = 53.75°
  • ∠O = 45° , ∠P = 90° , ∠Q = 45°
  • ∠O = 40.16° , ∠P = 75.31° , ∠Q = 64.53°
  • ∠O = 110.46° , ∠P = 34.77° , ∠Q = 34.77°
  • ∠O = 111.8° , ∠P = 27.66° , ∠Q = 40.54°
Question 2
2.
Which of the following are measures of an obtuse angled triangle ?
  • BC = 11 cm , CD = 11 cm , DB = 15.56 cm
  • BC = 10 cm , CD = 15 cm , DB = 18.03 cm
  • BC = 12 cm , CD = 22 cm , DB = 15 cm
  • BC = 11 cm , CD = 13 cm , DB = 15 cm
  • BC = 14 cm , CD = 10 cm , DB = 12 cm
Question 3
3.
    • The vertex opposite to the side
    •  

      IJ
       
       
  • I
  •  

    JK
     
     
  • L
  • H
Question 4
4.
Consider the following figure. State which of the following statements are true
a)
    • ∠G
    • =
    • ∠H
b)
    • ∠G
    • ≠
    • ∠H
c)
    • ∠I
    • ≠
    • ∠G
d)
    • ∠H
    • ≠
    • ∠I
e)
    • ∠H
    • =
    • ∠I
f)
    • ∠I
    • =
    • ∠G
  • {b,c,e}
  • {d,c}
  • {a,b}
  • {d,b,c}
  • {f,a,e}
Question 5
5.
Which of the following are measures of a scalene triangle ?
  • JK = 15 cm , KL = 15 cm , LJ = 21.21 cm
  • JK = 13 cm , KL = 12 cm , LJ = 11 cm
  • JK = 11 cm , KL = 11 cm , LJ = 11 cm
  • JK = 11 cm , KL = 12 cm , LJ = 11 cm
  • JK = 10 cm , KL = 14 cm , LJ = 10 cm
Question 6
6.
In the following figure, one side of a triangle has been produced. Find the values of x and y.
  • x
    =
    61°
    ,
    y
    =
    76°
  • x
    =
    62°
    ,
    y
    =
    77°
  • x
    =
    60°
    ,
    y
    =
    75°
  • x
    =
    59°
    ,
    y
    =
    74°
  • x
    =
    58°
    ,
    y
    =
    73°
Question 7
7.
Which of the following are measures of an equilateral triangle ?
  • GH = 15 cm , HI = 15 cm , IG = 15 cm
  • GH = 11 cm , HI = 10 cm , IG = 14.87 cm
  • GH = 11 cm , HI = 11 cm , IG = 15.56 cm
  • GH = 13 cm , HI = 15 cm , IG = 13 cm
  • GH = 13 cm , HI = 12 cm , IG = 15 cm
Question 8
8.
Each of the two equal angles of an isosceles triangle is half the third angle. Find the angles of the triangle
  • X
    =
    45°
    ,
    Y
    =
    90°
    ,
    Z
    =
    45°
  • X
    =
    47°
    ,
    Y
    =
    90°
    ,
    Z
    =
    43°
  • X
    =
    43°
    ,
    Y
    =
    90°
    ,
    Z
    =
    47°
  • X
    =
    43°
    ,
    Y
    =
    92°
    ,
    Z
    =
    45°
  • X
    =
    45°
    ,
    Y
    =
    88°
    ,
    Z
    =
    47°
Question 9
9.
Find the angles of the triangle
  • F
    =
    34°
    ,
    G
    =
    65°
    ,
    H
    =
    81°
  • F
    =
    38°
    ,
    G
    =
    63°
    ,
    H
    =
    79°
  • F
    =
    36°
    ,
    G
    =
    61°
    ,
    H
    =
    83°
  • F
    =
    36°
    ,
    G
    =
    63°
    ,
    H
    =
    81°
  • F
    =
    34°
    ,
    G
    =
    63°
    ,
    H
    =
    83°
Question 10
10.
Which of the following are measures of an isosceles right angled triangle ?
  • ∠A = 68.49° , ∠B = 43.02° , ∠C = 68.49°
  • ∠A = 60° , ∠B = 60° , ∠C = 60°
  • ∠A = 135.33° , ∠B = 24.95° , ∠C = 19.72°
  • ∠A = 52.62° , ∠B = 67.97° , ∠C = 59.41°
  • ∠A = 45° , ∠B = 90° , ∠C = 45°