ICSE Board Practice

ICSE Grade VI - Triangles
Question 1
1.
Which of the following are measures of a scalene triangle ?
  • DE = 13 cm , EF = 13 cm , FD = 13 cm
  • DE = 15 cm , EF = 13 cm , FD = 12 cm
  • DE = 12 cm , EF = 15 cm , FD = 12 cm
  • DE = 11 cm , EF = 11 cm , FD = 15.56 cm
  • DE = 12 cm , EF = 13 cm , FD = 12 cm
Question 2
2.
Find the unknown marked angles in the following figure
  • x
    =
    93°
    ,
    y
    =
    118°
  • x
    =
    94°
    ,
    y
    =
    119°
  • x
    =
    97°
    ,
    y
    =
    122°
  • x
    =
    95°
    ,
    y
    =
    120°
  • x
    =
    96°
    ,
    y
    =
    121°
Question 3
3.
Which of the following are measures of an isosceles triangle ?
  • ∠J = 51.84° , ∠K = 90° , ∠L = 38.16°
  • ∠J = 60° , ∠K = 60° , ∠L = 60°
  • ∠J = 85.46° , ∠K = 52.89° , ∠L = 41.65°
  • ∠J = 76.33° , ∠K = 55.3° , ∠L = 48.37°
  • ∠J = 73.74° , ∠K = 53.13° , ∠L = 53.13°
Question 4
4.
    • The exterior angles of the triangle are
  • ∠FEC , ∠GCD , ∠HDE
  • ∠EFC , ∠FCD , ∠GDF
  • ∠DEB , ∠EBC , ∠FCE
  • ∠GFD , ∠HDE , ∠IEF
  • ∠EDB , ∠FBC , ∠GCD
Question 5
5.
One of the two equal angles of an isosceles triangle measures 48°. Find the measure of each angle of the triangle.
  • A
    =
    46°
    ,
    B
    =
    50°
    ,
    C
    =
    84°
  • A
    =
    48°
    ,
    B
    =
    46°
    ,
    C
    =
    86°
  • A
    =
    46°
    ,
    B
    =
    48°
    ,
    C
    =
    86°
  • A
    =
    48°
    ,
    B
    =
    48°
    ,
    C
    =
    84°
  • A
    =
    50°
    ,
    B
    =
    48°
    ,
    C
    =
    82°
Question 6
6.
Which of the following are measures of a right angled triangle ?
  • IJ = 13 cm , JK = 14 cm , KI = 19.1 cm
  • IJ = 12 cm , JK = 12 cm , KI = 12 cm
  • IJ = 14 cm , JK = 15 cm , KI = 13 cm
  • IJ = 11 cm , JK = 21 cm , KI = 12 cm
  • IJ = 13 cm , JK = 10 cm , KI = 13 cm
Question 7
7.
In the given figure, find the values of x and y.
  • x
    =
    38.22°
    ,
    y
    =
    63.1°
  • x
    =
    39.22°
    ,
    y
    =
    64.1°
  • x
    =
    41.22°
    ,
    y
    =
    66.1°
  • x
    =
    42.22°
    ,
    y
    =
    67.1°
  • x
    =
    40.22°
    ,
    y
    =
    65.1°
Question 8
8.
Find the unknown marked angles in the following figure
  • x
    =
    106°
    ,
    y
    =
    34°
  • x
    =
    107°
    ,
    y
    =
    35°
  • x
    =
    109°
    ,
    y
    =
    37°
  • x
    =
    110°
    ,
    y
    =
    38°
  • x
    =
    108°
    ,
    y
    =
    36°
Question 9
9.
Which of the following are measures of an obtuse angled triangle ?
  • ∠G = 94.94° , ∠H = 48.35° , ∠I = 36.71°
  • ∠G = 46.46° , ∠H = 81.28° , ∠I = 52.26°
  • ∠G = 45° , ∠H = 90° , ∠I = 45°
  • ∠G = 40.24° , ∠H = 90° , ∠I = 49.76°
  • ∠G = 53.13° , ∠H = 67.38° , ∠I = 59.49°
Question 10
10.
    • The sides of the triangle are
  •  


    BC
     
     
    ,
     


    CA
     
     
    ,
     


    AB
     
     
  •  


    BD
     
     
    ,
     


    DA
     
     
    ,
     


    AB
     
     
  •  


    DE
     
     
    ,
     


    EC
     
     
    ,
     


    CD
     
     
  •  


    CD
     
     
    ,
     


    DB
     
     
    ,
     


    BC
     
     
  •  


    CE
     
     
    ,
     


    EB
     
     
    ,
     


    BC