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)
    BC = 14 cm , CD = 14 cm , DB = 14 cm
  • (ii)
    BC = 12 cm , CD = 15 cm , DB = 13 cm
  • (iii)
    BC = 10 cm , CD = 10 cm , DB = 14.14 cm
  • (iv)
    BC = 15 cm , CD = 10 cm , DB = 18.03 cm
  • (v)
    BC = 11 cm , CD = 15 cm , DB = 11 cm
Question 2
2.
Which of the following are measures of an isosceles triangle ?
  • (i)
    OP = 13 cm , PQ = 12 cm , QO = 15 cm
  • (ii)
    OP = 11 cm , PQ = 13 cm , QO = 15 cm
  • (iii)
    OP = 10 cm , PQ = 14 cm , QO = 17.2 cm
  • (iv)
    OP = 14 cm , PQ = 11 cm , QO = 14 cm
  • (v)
    OP = 13 cm , PQ = 13 cm , QO = 13 cm
Question 3
3.
Which of the following are measures of a scalene triangle ?
  • (i)
    GH = 11 cm , HI = 14 cm , IG = 10 cm
  • (ii)
    GH = 15 cm , HI = 15 cm , IG = 21.21 cm
  • (iii)
    GH = 11 cm , HI = 13 cm , IG = 11 cm
  • (iv)
    GH = 15 cm , HI = 12 cm , IG = 15 cm
  • (v)
    GH = 11 cm , HI = 11 cm , IG = 11 cm
Question 4
4.
Which of the following are measures of a right angled triangle ?
  • (i)
    DE = 12 cm , EF = 12 cm , FD = 12 cm
  • (ii)
    DE = 10 cm , EF = 12 cm , FD = 15 cm
  • (iii)
    DE = 12 cm , EF = 22 cm , FD = 15 cm
  • (iv)
    DE = 12 cm , EF = 12 cm , FD = 15 cm
  • (v)
    DE = 13 cm , EF = 15 cm , FD = 19.85 cm
Question 5
5.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    KL = 11 cm , LM = 12 cm , MK = 11 cm
  • (ii)
    KL = 12 cm , LM = 10 cm , MK = 15 cm
  • (iii)
    KL = 11 cm , LM = 11 cm , MK = 11 cm
  • (iv)
    KL = 11 cm , LM = 18 cm , MK = 12 cm
  • (v)
    KL = 15 cm , LM = 15 cm , MK = 21.21 cm
Question 6
6.
Which of the following are measures of an acute angled triangle ?
  • (i)
    DE = 14 cm , EF = 13 cm , FD = 19.1 cm
  • (ii)
    DE = 12 cm , EF = 20 cm , FD = 14 cm
  • (iii)
    DE = 14 cm , EF = 24 cm , FD = 15 cm
  • (iv)
    DE = 11 cm , EF = 11 cm , FD = 15.56 cm
  • (v)
    DE = 12 cm , EF = 14 cm , FD = 11 cm
Question 7
7.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    IJ = 11 cm , JK = 11 cm , KI = 15.56 cm
  • (ii)
    IJ = 11 cm , JK = 19 cm , KI = 15 cm
  • (iii)
    IJ = 14 cm , JK = 14 cm , KI = 13 cm
  • (iv)
    IJ = 15 cm , JK = 10 cm , KI = 18.03 cm
  • (v)
    IJ = 11 cm , JK = 11 cm , KI = 12 cm
Question 8
8.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠O = 49.4° , ∠P = 90° , ∠Q = 40.6°
  • (ii)
    ∠O = 60° , ∠P = 60° , ∠Q = 60°
  • (iii)
    ∠O = 71.38° , ∠P = 54.31° , ∠Q = 54.31°
  • (iv)
    ∠O = 74.85° , ∠P = 55.83° , ∠Q = 49.32°
  • (v)
    ∠O = 45° , ∠P = 90° , ∠Q = 45°
Question 9
9.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠B = 40.16° , ∠C = 75.31° , ∠D = 64.53°
  • (ii)
    ∠B = 60° , ∠C = 60° , ∠D = 60°
  • (iii)
    ∠B = 42.88° , ∠C = 90° , ∠D = 47.12°
  • (iv)
    ∠B = 52.02° , ∠C = 68.68° , ∠D = 59.3°
  • (v)
    ∠B = 54.56° , ∠C = 62.72° , ∠D = 62.72°
Question 10
10.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠K = 67.38° , ∠L = 59.49° , ∠M = 53.13°
  • (ii)
    ∠K = 60° , ∠L = 60° , ∠M = 60°
  • (iii)
    ∠K = 45° , ∠L = 90° , ∠M = 45°
  • (iv)
    ∠K = 64.78° , ∠L = 57.61° , ∠M = 57.61°
  • (v)
    ∠K = 66.12° , ∠L = 56.94° , ∠M = 56.94°
Question 11
11.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠E = 51.84° , ∠F = 90° , ∠G = 38.16°
  • (ii)
    ∠E = 60° , ∠F = 60° , ∠G = 60°
  • (iii)
    ∠E = 103.34° , ∠F = 41.56° , ∠G = 35.1°
  • (iv)
    ∠E = 71.79° , ∠F = 46.95° , ∠G = 61.26°
  • (v)
    ∠E = 45.57° , ∠F = 45.57° , ∠G = 88.86°
Question 12
12.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠C = 75.31° , ∠D = 40.16° , ∠E = 64.53°
  • (ii)
    ∠C = 102.91° , ∠D = 36.56° , ∠E = 40.53°
  • (iii)
    ∠C = 51.32° , ∠D = 51.32° , ∠E = 77.36°
  • (iv)
    ∠C = 45° , ∠D = 90° , ∠E = 45°
  • (v)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
Question 13
13.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠J = 40.91° , ∠K = 90° , ∠L = 49.09°
  • (ii)
    ∠J = 56.25° , ∠K = 50.13° , ∠L = 73.62°
  • (iii)
    ∠J = 45° , ∠K = 90° , ∠L = 45°
  • (iv)
    ∠J = 95.52° , ∠K = 44.17° , ∠L = 40.31°
  • (v)
    ∠J = 131.42° , ∠K = 20.92° , ∠L = 27.66°
Question 14
14.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠A = 99.15° , ∠B = 38.1° , ∠C = 42.75°
  • (ii)
    ∠A = 42.71° , ∠B = 90° , ∠C = 47.29°
  • (iii)
    ∠A = 62.96° , ∠B = 44.42° , ∠C = 72.62°
  • (iv)
    ∠A = 45° , ∠B = 90° , ∠C = 45°
  • (v)
    ∠A = 38.94° , ∠B = 70.53° , ∠C = 70.53°
Question 15
15.
Which of the following are measures of an equilateral triangle ?
  • (i)
    AB = 13 cm , BC = 11 cm , CA = 17.03 cm
  • (ii)
    AB = 12 cm , BC = 12 cm , CA = 12 cm
  • (iii)
    AB = 13 cm , BC = 12 cm , CA = 11 cm
  • (iv)
    AB = 14 cm , BC = 14 cm , CA = 19.8 cm
  • (v)
    AB = 15 cm , BC = 12 cm , CA = 15 cm
Question 16
16.
Which of the following are measures of an isosceles triangle ?
  • (i)
    IJ = 13 cm , JK = 13 cm , KI = 13 cm
  • (ii)
    IJ = 14 cm , JK = 10 cm , KI = 17.2 cm
  • (iii)
    IJ = 11 cm , JK = 14 cm , KI = 12 cm
  • (iv)
    IJ = 10 cm , JK = 11 cm , KI = 13 cm
  • (v)
    IJ = 11 cm , JK = 13 cm , KI = 11 cm
Question 17
17.
Which of the following are measures of a scalene triangle ?
  • (i)
    EF = 14 cm , FG = 10 cm , GE = 12 cm
  • (ii)
    EF = 14 cm , FG = 14 cm , GE = 19.8 cm
  • (iii)
    EF = 12 cm , FG = 15 cm , GE = 12 cm
  • (iv)
    EF = 15 cm , FG = 15 cm , GE = 15 cm
  • (v)
    EF = 15 cm , FG = 10 cm , GE = 15 cm
Question 18
18.
Which of the following are measures of a right angled triangle ?
  • (i)
    FG = 10 cm , GH = 12 cm , HF = 11 cm
  • (ii)
    FG = 15 cm , GH = 10 cm , HF = 13 cm
  • (iii)
    FG = 13 cm , GH = 13 cm , HF = 13 cm
  • (iv)
    FG = 14 cm , GH = 12 cm , HF = 18.44 cm
  • (v)
    FG = 14 cm , GH = 21 cm , HF = 13 cm
Question 19
19.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    PQ = 10 cm , QR = 11 cm , RP = 14 cm
  • (ii)
    PQ = 15 cm , QR = 15 cm , RP = 21.21 cm
  • (iii)
    PQ = 15 cm , QR = 15 cm , RP = 15 cm
  • (iv)
    PQ = 11 cm , QR = 16 cm , RP = 10 cm
  • (v)
    PQ = 14 cm , QR = 14 cm , RP = 10 cm
Question 20
20.
Which of the following are measures of an acute angled triangle ?
  • (i)
    IJ = 14 cm , JK = 14 cm , KI = 19.8 cm
  • (ii)
    IJ = 13 cm , JK = 10 cm , KI = 16.4 cm
  • (iii)
    IJ = 15 cm , JK = 12 cm , KI = 12 cm
  • (iv)
    IJ = 14 cm , JK = 25 cm , KI = 14 cm
  • (v)
    IJ = 11 cm , JK = 22 cm , KI = 14 cm
Question 21
21.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    PQ = 11 cm , QR = 14 cm , RP = 17.8 cm
  • (ii)
    PQ = 13 cm , QR = 13 cm , RP = 11 cm
  • (iii)
    PQ = 14 cm , QR = 11 cm , RP = 11 cm
  • (iv)
    PQ = 14 cm , QR = 21 cm , RP = 12 cm
  • (v)
    PQ = 12 cm , QR = 12 cm , RP = 16.97 cm
Question 22
22.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠N = 60° , ∠O = 60° , ∠P = 60°
  • (ii)
    ∠N = 45° , ∠O = 90° , ∠P = 45°
  • (iii)
    ∠N = 47.16° , ∠O = 66.42° , ∠P = 66.42°
  • (iv)
    ∠N = 47.29° , ∠O = 90° , ∠P = 42.71°
  • (v)
    ∠N = 59.17° , ∠O = 51.32° , ∠P = 69.51°
Question 23
23.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠E = 41.8° , ∠F = 91.04° , ∠G = 47.16°
  • (ii)
    ∠E = 77.36° , ∠F = 51.32° , ∠G = 51.32°
  • (iii)
    ∠E = 73.62° , ∠F = 56.25° , ∠G = 50.13°
  • (iv)
    ∠E = 60° , ∠F = 60° , ∠G = 60°
  • (v)
    ∠E = 46.97° , ∠F = 90° , ∠G = 43.03°
Question 24
24.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠B = 81.08° , ∠C = 49.46° , ∠D = 49.46°
  • (ii)
    ∠B = 60° , ∠C = 60° , ∠D = 60°
  • (iii)
    ∠B = 45° , ∠C = 90° , ∠D = 45°
  • (iv)
    ∠B = 59.17° , ∠C = 69.51° , ∠D = 51.32°
  • (v)
    ∠B = 65.16° , ∠C = 57.42° , ∠D = 57.42°
Question 25
25.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠C = 43.03° , ∠D = 90° , ∠E = 46.97°
  • (ii)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
  • (iii)
    ∠C = 69.51° , ∠D = 51.32° , ∠E = 59.17°
  • (iv)
    ∠C = 130.54° , ∠D = 22.33° , ∠E = 27.13°
  • (v)
    ∠C = 91.04° , ∠D = 47.16° , ∠E = 41.8°
Question 26
26.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
  • (ii)
    ∠C = 61.28° , ∠D = 70.81° , ∠E = 47.91°
  • (iii)
    ∠C = 61.26° , ∠D = 46.95° , ∠E = 71.79°
  • (iv)
    ∠C = 45° , ∠D = 90° , ∠E = 45°
  • (v)
    ∠C = 98.85° , ∠D = 42.54° , ∠E = 38.61°
Question 27
27.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠N = 111.32° , ∠O = 32.64° , ∠P = 36.04°
  • (ii)
    ∠N = 67.38° , ∠O = 53.13° , ∠P = 59.49°
  • (iii)
    ∠N = 103.34° , ∠O = 35.1° , ∠P = 41.56°
  • (iv)
    ∠N = 35.54° , ∠O = 90° , ∠P = 54.46°
  • (v)
    ∠N = 45° , ∠O = 90° , ∠P = 45°
Question 28
28.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠O = 122.08° , ∠P = 28.96° , ∠Q = 28.96°
  • (ii)
    ∠O = 45° , ∠P = 90° , ∠Q = 45°
  • (iii)
    ∠O = 76.87° , ∠P = 45.57° , ∠Q = 57.56°
  • (iv)
    ∠O = 51.32° , ∠P = 51.32° , ∠Q = 77.36°
  • (v)
    ∠O = 42.27° , ∠P = 90° , ∠Q = 47.73°
Question 29
29.
Find the measures of the three sides suitable to form a triangle?
  • (i)
    FG = 11 cm , GH = 12 cm , HF = 14 cm
  • (ii)
    FG = 11 cm , GH = 5 cm , HF = 19 cm
  • (iii)
    FG = 8 cm , GH = 7 cm , HF = 17 cm
  • (iv)
    FG = 11 cm , GH = 20 cm , HF = 7 cm
  • (v)
    FG = 5 cm , GH = 20 cm , HF = 13 cm
Question 30
30.
Find the measures of the three angles suitable to form a triangle?
  • (i)
    ∠D = 40.50° , ∠E = 50.30° , ∠F = 73.70°
  • (ii)
    ∠D = 110.70° , ∠E = 86.90° , ∠F = 115.80°
  • (iii)
    ∠D = 54.31° , ∠E = 71.38° , ∠F = 54.31°
  • (iv)
    ∠D = 76.20° , ∠E = 98.10° , ∠F = 51.70°
  • (v)
    ∠D = 103.70° , ∠E = 78.60° , ∠F = 58.20°
    Assignment Key

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