EduSahara™ Assignment
Name : Types of Triangles
Chapter : Triangles
Grade : ICSE Grade IX
License : Non Commercial Use
Question 1
1.
Which of the following are measures of an equilateral triangle ?
  • (i)
    FG = 13 cm , GH = 14 cm , HF = 13 cm
  • (ii)
    FG = 15 cm , GH = 13 cm , HF = 19.85 cm
  • (iii)
    FG = 13 cm , GH = 13 cm , HF = 13 cm
  • (iv)
    FG = 15 cm , GH = 15 cm , HF = 21.21 cm
  • (v)
    FG = 10 cm , GH = 11 cm , HF = 13 cm
Question 2
2.
Which of the following are measures of an isosceles triangle ?
  • (i)
    GH = 15 cm , HI = 15 cm , IG = 15 cm
  • (ii)
    GH = 11 cm , HI = 12 cm , IG = 14 cm
  • (iii)
    GH = 12 cm , HI = 10 cm , IG = 11 cm
  • (iv)
    GH = 11 cm , HI = 13 cm , IG = 11 cm
  • (v)
    GH = 15 cm , HI = 11 cm , IG = 18.6 cm
Question 3
3.
Which of the following are measures of a scalene triangle ?
  • (i)
    GH = 11 cm , HI = 11 cm , IG = 15.56 cm
  • (ii)
    GH = 11 cm , HI = 11 cm , IG = 11 cm
  • (iii)
    GH = 15 cm , HI = 12 cm , IG = 15 cm
  • (iv)
    GH = 15 cm , HI = 10 cm , IG = 15 cm
  • (v)
    GH = 12 cm , HI = 10 cm , IG = 14 cm
Question 4
4.
Which of the following are measures of a right angled triangle ?
  • (i)
    DE = 10 cm , EF = 10 cm , FD = 10 cm
  • (ii)
    DE = 14 cm , EF = 10 cm , FD = 15 cm
  • (iii)
    DE = 11 cm , EF = 10 cm , FD = 14.87 cm
  • (iv)
    DE = 10 cm , EF = 15 cm , FD = 12 cm
  • (v)
    DE = 15 cm , EF = 23 cm , FD = 12 cm
Question 5
5.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    DE = 14 cm , EF = 22 cm , FD = 12 cm
  • (ii)
    DE = 14 cm , EF = 14 cm , FD = 14 cm
  • (iii)
    DE = 13 cm , EF = 11 cm , FD = 15 cm
  • (iv)
    DE = 10 cm , EF = 10 cm , FD = 10 cm
  • (v)
    DE = 13 cm , EF = 13 cm , FD = 18.38 cm
Question 6
6.
Which of the following are measures of an acute angled triangle ?
  • (i)
    OP = 15 cm , PQ = 22 cm , QO = 14 cm
  • (ii)
    OP = 10 cm , PQ = 11 cm , QO = 12 cm
  • (iii)
    OP = 15 cm , PQ = 15 cm , QO = 21.21 cm
  • (iv)
    OP = 14 cm , PQ = 23 cm , QO = 13 cm
  • (v)
    OP = 10 cm , PQ = 15 cm , QO = 18.03 cm
Question 7
7.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    NO = 13 cm , OP = 11 cm , PN = 15 cm
  • (ii)
    NO = 13 cm , OP = 13 cm , PN = 18.38 cm
  • (iii)
    NO = 11 cm , OP = 21 cm , PN = 12 cm
  • (iv)
    NO = 14 cm , OP = 10 cm , PN = 12 cm
  • (v)
    NO = 10 cm , OP = 12 cm , PN = 15.62 cm
Question 8
8.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠A = 64.78° , ∠B = 57.61° , ∠C = 57.61°
  • (ii)
    ∠A = 45° , ∠B = 90° , ∠C = 45°
  • (iii)
    ∠A = 47.49° , ∠B = 90° , ∠C = 42.51°
  • (iv)
    ∠A = 46.46° , ∠B = 81.28° , ∠C = 52.26°
  • (v)
    ∠A = 60° , ∠B = 60° , ∠C = 60°
Question 9
9.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠J = 48.37° , ∠K = 55.3° , ∠L = 76.33°
  • (ii)
    ∠J = 40.24° , ∠K = 90° , ∠L = 49.76°
  • (iii)
    ∠J = 70.81° , ∠K = 61.28° , ∠L = 47.91°
  • (iv)
    ∠J = 64.78° , ∠K = 57.61° , ∠L = 57.61°
  • (v)
    ∠J = 60° , ∠K = 60° , ∠L = 60°
Question 10
10.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠J = 59.41° , ∠K = 52.62° , ∠L = 67.97°
  • (ii)
    ∠J = 60° , ∠K = 60° , ∠L = 60°
  • (iii)
    ∠J = 45° , ∠K = 90° , ∠L = 45°
  • (iv)
    ∠J = 88.86° , ∠K = 45.57° , ∠L = 45.57°
  • (v)
    ∠J = 70.46° , ∠K = 54.77° , ∠L = 54.77°
Question 11
11.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠M = 40.16° , ∠N = 64.53° , ∠O = 75.31°
  • (ii)
    ∠M = 42.27° , ∠N = 90° , ∠O = 47.73°
  • (iii)
    ∠M = 100.29° , ∠N = 43.53° , ∠O = 36.18°
  • (iv)
    ∠M = 60° , ∠N = 60° , ∠O = 60°
Question 12
12.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠B = 60° , ∠C = 60° , ∠D = 60°
  • (ii)
    ∠B = 64.63° , ∠C = 64.62° , ∠D = 50.75°
  • (iii)
    ∠B = 100.56° , ∠C = 39.72° , ∠D = 39.72°
  • (iv)
    ∠B = 45° , ∠C = 90° , ∠D = 45°
  • (v)
    ∠B = 45.21° , ∠C = 83.47° , ∠D = 51.32°
Question 13
13.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠D = 53.75° , ∠E = 90° , ∠F = 36.25°
  • (ii)
    ∠D = 131.42° , ∠E = 27.66° , ∠F = 20.92°
  • (iii)
    ∠D = 113.74° , ∠E = 37.61° , ∠F = 28.65°
  • (iv)
    ∠D = 83.47° , ∠E = 45.21° , ∠F = 51.32°
  • (v)
    ∠D = 45° , ∠E = 90° , ∠F = 45°
Question 14
14.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠J = 48.74° , ∠K = 69.98° , ∠L = 61.28°
  • (ii)
    ∠J = 59.3° , ∠K = 52.02° , ∠L = 68.68°
  • (iii)
    ∠J = 47.73° , ∠K = 90° , ∠L = 42.27°
  • (iv)
    ∠J = 137.92° , ∠K = 21.04° , ∠L = 21.04°
  • (v)
    ∠J = 45° , ∠K = 90° , ∠L = 45°
Question 15
15.
Which of the following are measures of an equilateral triangle ?
  • (i)
    BC = 11 cm , CD = 12 cm , DB = 11 cm
  • (ii)
    BC = 10 cm , CD = 15 cm , DB = 12 cm
  • (iii)
    BC = 11 cm , CD = 11 cm , DB = 11 cm
  • (iv)
    BC = 10 cm , CD = 10 cm , DB = 14.14 cm
  • (v)
    BC = 12 cm , CD = 15 cm , DB = 19.21 cm
Question 16
16.
Which of the following are measures of an isosceles triangle ?
  • (i)
    EF = 11 cm , FG = 13 cm , GE = 15 cm
  • (ii)
    EF = 11 cm , FG = 13 cm , GE = 11 cm
  • (iii)
    EF = 13 cm , FG = 14 cm , GE = 12 cm
  • (iv)
    EF = 14 cm , FG = 14 cm , GE = 14 cm
  • (v)
    EF = 12 cm , FG = 13 cm , GE = 17.69 cm
Question 17
17.
Which of the following are measures of a scalene triangle ?
  • (i)
    LM = 11 cm , MN = 12 cm , NL = 14 cm
  • (ii)
    LM = 14 cm , MN = 14 cm , NL = 19.8 cm
  • (iii)
    LM = 10 cm , MN = 10 cm , NL = 10 cm
  • (iv)
    LM = 13 cm , MN = 14 cm , NL = 13 cm
  • (v)
    LM = 11 cm , MN = 12 cm , NL = 11 cm
Question 18
18.
Which of the following are measures of a right angled triangle ?
  • (i)
    GH = 14 cm , HI = 11 cm , IG = 11 cm
  • (ii)
    GH = 10 cm , HI = 10 cm , IG = 10 cm
  • (iii)
    GH = 11 cm , HI = 22 cm , IG = 13 cm
  • (iv)
    GH = 13 cm , HI = 15 cm , IG = 19.85 cm
  • (v)
    GH = 15 cm , HI = 12 cm , IG = 11 cm
Question 19
19.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    IJ = 10 cm , JK = 10 cm , KI = 10 cm
  • (ii)
    IJ = 13 cm , JK = 24 cm , KI = 13 cm
  • (iii)
    IJ = 11 cm , JK = 10 cm , KI = 11 cm
  • (iv)
    IJ = 15 cm , JK = 15 cm , KI = 21.21 cm
  • (v)
    IJ = 14 cm , JK = 10 cm , KI = 13 cm
Question 20
20.
Which of the following are measures of an acute angled triangle ?
  • (i)
    NO = 11 cm , OP = 11 cm , PN = 15.56 cm
  • (ii)
    NO = 10 cm , OP = 12 cm , PN = 15.62 cm
  • (iii)
    NO = 12 cm , OP = 22 cm , PN = 13 cm
  • (iv)
    NO = 15 cm , OP = 24 cm , PN = 14 cm
  • (v)
    NO = 14 cm , OP = 13 cm , PN = 13 cm
Question 21
21.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    FG = 10 cm , GH = 18 cm , HF = 12 cm
  • (ii)
    FG = 14 cm , GH = 11 cm , HF = 12 cm
  • (iii)
    FG = 12 cm , GH = 13 cm , HF = 12 cm
  • (iv)
    FG = 11 cm , GH = 11 cm , HF = 15.56 cm
  • (v)
    FG = 15 cm , GH = 14 cm , HF = 20.52 cm
Question 22
22.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠K = 35.54° , ∠L = 90° , ∠M = 54.46°
  • (ii)
    ∠K = 97.18° , ∠L = 41.41° , ∠M = 41.41°
  • (iii)
    ∠K = 56.25° , ∠L = 50.13° , ∠M = 73.62°
  • (iv)
    ∠K = 45° , ∠L = 90° , ∠M = 45°
  • (v)
    ∠K = 60° , ∠L = 60° , ∠M = 60°
Question 23
23.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠C = 57.56° , ∠D = 76.87° , ∠E = 45.57°
  • (ii)
    ∠C = 37.57° , ∠D = 90° , ∠E = 52.43°
  • (iii)
    ∠C = 45.21° , ∠D = 83.47° , ∠E = 51.32°
  • (iv)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
  • (v)
    ∠C = 97.18° , ∠D = 41.41° , ∠E = 41.41°
Question 24
24.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠B = 45° , ∠C = 90° , ∠D = 45°
  • (ii)
    ∠B = 77.36° , ∠C = 51.32° , ∠D = 51.32°
  • (iii)
    ∠B = 60° , ∠C = 60° , ∠D = 60°
  • (iv)
    ∠B = 70.46° , ∠C = 54.77° , ∠D = 54.77°
  • (v)
    ∠B = 75.31° , ∠C = 40.16° , ∠D = 64.53°
Question 25
25.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠J = 111.8° , ∠K = 40.54° , ∠L = 27.66°
  • (ii)
    ∠J = 40.16° , ∠K = 75.31° , ∠L = 64.53°
  • (iii)
    ∠J = 36.25° , ∠K = 90° , ∠L = 53.75°
  • (iv)
    ∠J = 60° , ∠K = 60° , ∠L = 60°
  • (v)
    ∠J = 85.46° , ∠K = 41.65° , ∠L = 52.89°
Question 26
26.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠A = 60° , ∠B = 60° , ∠C = 60°
  • (ii)
    ∠A = 49.25° , ∠B = 65.37° , ∠C = 65.38°
  • (iii)
    ∠A = 92.61° , ∠B = 52.06° , ∠C = 35.33°
  • (iv)
    ∠A = 45° , ∠B = 90° , ∠C = 45°
  • (v)
    ∠A = 48.37° , ∠B = 76.33° , ∠C = 55.3°
Question 27
27.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠I = 97.18° , ∠J = 41.41° , ∠K = 41.41°
  • (ii)
    ∠I = 98.85° , ∠J = 42.54° , ∠K = 38.61°
  • (iii)
    ∠I = 70.81° , ∠J = 61.28° , ∠K = 47.91°
  • (iv)
    ∠I = 45° , ∠J = 90° , ∠K = 45°
  • (v)
    ∠I = 53.75° , ∠J = 90° , ∠K = 36.25°
Question 28
28.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠I = 60° , ∠J = 60° , ∠K = 60°
  • (ii)
    ∠I = 45° , ∠J = 90° , ∠K = 45°
  • (iii)
    ∠I = 67.97° , ∠J = 59.41° , ∠K = 52.62°
  • (iv)
    ∠I = 38.66° , ∠J = 90° , ∠K = 51.34°
  • (v)
    ∠I = 94.41° , ∠J = 49.68° , ∠K = 35.91°
Question 29
29.
Find the measures of the three sides suitable to form a triangle?
  • (i)
    DE = 15 cm , EF = 10 cm , FD = 11 cm
  • (ii)
    DE = 5 cm , EF = 9 cm , FD = 16 cm
  • (iii)
    DE = 5 cm , EF = 9 cm , FD = 18 cm
  • (iv)
    DE = 10 cm , EF = 5 cm , FD = 18 cm
  • (v)
    DE = 11 cm , EF = 6 cm , FD = 18 cm
Question 30
30.
Find the measures of the three angles suitable to form a triangle?
  • (i)
    ∠G = 110.20° , ∠H = 108.60° , ∠I = 112.70°
  • (ii)
    ∠G = 114.20° , ∠H = 96.30° , ∠I = 94.70°
  • (iii)
    ∠G = 86.60° , ∠H = 120.40° , ∠I = 33.60°
  • (iv)
    ∠G = 57.50° , ∠H = 78.50° , ∠I = 97.40°
  • (v)
    ∠G = 62.18° , ∠H = 55.64° , ∠I = 62.18°
    Assignment Key

  •  1) (iii)
  •  2) (iv)
  •  3) (v)
  •  4) (iii)
  •  5) (v)
  •  6) (ii)
  •  7) (iii)
  •  8) (v)
  •  9) (iv)
  •  10) (i)
  •  11) (ii)
  •  12) (iv)
  •  13) (iv)
  •  14) (iv)
  •  15) (iii)
  •  16) (ii)
  •  17) (i)
  •  18) (iv)
  •  19) (iv)
  •  20) (v)
  •  21) (i)
  •  22) (v)
  •  23) (v)
  •  24) (v)
  •  25) (iii)
  •  26) (iv)
  •  27) (iii)
  •  28) (v)
  •  29) (i)
  •  30) (v)