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 = 10 cm , GH = 10 cm , HF = 10 cm
  • (ii)
    FG = 15 cm , GH = 12 cm , HF = 14 cm
  • (iii)
    FG = 15 cm , GH = 15 cm , HF = 21.21 cm
  • (iv)
    FG = 13 cm , GH = 15 cm , HF = 13 cm
  • (v)
    FG = 10 cm , GH = 12 cm , HF = 15.62 cm
Question 2
2.
Which of the following are measures of an isosceles triangle ?
  • (i)
    DE = 14 cm , EF = 13 cm , FD = 12 cm
  • (ii)
    DE = 12 cm , EF = 13 cm , FD = 11 cm
  • (iii)
    DE = 10 cm , EF = 10 cm , FD = 10 cm
  • (iv)
    DE = 11 cm , EF = 12 cm , FD = 16.28 cm
  • (v)
    DE = 11 cm , EF = 14 cm , FD = 11 cm
Question 3
3.
Which of the following are measures of a scalene triangle ?
  • (i)
    HI = 10 cm , IJ = 13 cm , JH = 10 cm
  • (ii)
    HI = 13 cm , IJ = 13 cm , JH = 18.38 cm
  • (iii)
    HI = 11 cm , IJ = 12 cm , JH = 11 cm
  • (iv)
    HI = 15 cm , IJ = 15 cm , JH = 15 cm
  • (v)
    HI = 12 cm , IJ = 14 cm , JH = 11 cm
Question 4
4.
Which of the following are measures of a right angled triangle ?
  • (i)
    LM = 10 cm , MN = 15 cm , NL = 12 cm
  • (ii)
    LM = 10 cm , MN = 14 cm , NL = 15 cm
  • (iii)
    LM = 11 cm , MN = 23 cm , NL = 15 cm
  • (iv)
    LM = 14 cm , MN = 14 cm , NL = 14 cm
  • (v)
    LM = 10 cm , MN = 13 cm , NL = 16.4 cm
Question 5
5.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    GH = 10 cm , HI = 13 cm , IG = 14 cm
  • (ii)
    GH = 11 cm , HI = 11 cm , IG = 15.56 cm
  • (iii)
    GH = 10 cm , HI = 14 cm , IG = 15 cm
  • (iv)
    GH = 10 cm , HI = 17 cm , IG = 10 cm
  • (v)
    GH = 10 cm , HI = 10 cm , IG = 10 cm
Question 6
6.
Which of the following are measures of an acute angled triangle ?
  • (i)
    IJ = 14 cm , JK = 13 cm , KI = 12 cm
  • (ii)
    IJ = 15 cm , JK = 22 cm , KI = 12 cm
  • (iii)
    IJ = 13 cm , JK = 23 cm , KI = 15 cm
  • (iv)
    IJ = 11 cm , JK = 13 cm , KI = 17.03 cm
  • (v)
    IJ = 15 cm , JK = 15 cm , KI = 21.21 cm
Question 7
7.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    FG = 10 cm , GH = 10 cm , HF = 14 cm
  • (ii)
    FG = 15 cm , GH = 15 cm , HF = 10 cm
  • (iii)
    FG = 10 cm , GH = 10 cm , HF = 14.14 cm
  • (iv)
    FG = 14 cm , GH = 23 cm , HF = 11 cm
  • (v)
    FG = 12 cm , GH = 15 cm , HF = 19.21 cm
Question 8
8.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠L = 45° , ∠M = 90° , ∠N = 45°
  • (ii)
    ∠L = 61.28° , ∠M = 47.91° , ∠N = 70.81°
  • (iii)
    ∠L = 60° , ∠M = 60° , ∠N = 60°
  • (iv)
    ∠L = 97.18° , ∠M = 41.41° , ∠N = 41.41°
  • (v)
    ∠L = 39.81° , ∠M = 90° , ∠N = 50.19°
Question 9
9.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠N = 38.66° , ∠O = 90° , ∠P = 51.34°
  • (ii)
    ∠N = 61.28° , ∠O = 70.81° , ∠P = 47.91°
  • (iii)
    ∠N = 60° , ∠O = 60° , ∠P = 60°
  • (iv)
    ∠N = 38.94° , ∠O = 70.53° , ∠P = 70.53°
  • (v)
    ∠N = 62.96° , ∠O = 72.62° , ∠P = 44.42°
Question 10
10.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠D = 64.78° , ∠E = 57.61° , ∠F = 57.61°
  • (ii)
    ∠D = 60° , ∠E = 60° , ∠F = 60°
  • (iii)
    ∠D = 85.98° , ∠E = 47.01° , ∠F = 47.01°
  • (iv)
    ∠D = 55.83° , ∠E = 74.85° , ∠F = 49.32°
  • (v)
    ∠D = 45° , ∠E = 90° , ∠F = 45°
Question 11
11.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠F = 54.77° , ∠G = 70.46° , ∠H = 54.77°
  • (ii)
    ∠F = 112.75° , ∠G = 41.2° , ∠H = 26.05°
  • (iii)
    ∠F = 47.29° , ∠G = 90° , ∠H = 42.71°
  • (iv)
    ∠F = 60° , ∠G = 60° , ∠H = 60°
  • (v)
    ∠F = 48.37° , ∠G = 76.33° , ∠H = 55.3°
Question 12
12.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠H = 55.83° , ∠I = 74.85° , ∠J = 49.32°
  • (ii)
    ∠H = 59.41° , ∠I = 67.97° , ∠J = 52.62°
  • (iii)
    ∠H = 60° , ∠I = 60° , ∠J = 60°
  • (iv)
    ∠H = 45° , ∠I = 90° , ∠J = 45°
  • (v)
    ∠H = 92.61° , ∠I = 52.06° , ∠J = 35.33°
Question 13
13.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠D = 45° , ∠E = 90° , ∠F = 45°
  • (ii)
    ∠D = 117.92° , ∠E = 32.68° , ∠F = 29.4°
  • (iii)
    ∠D = 47.12° , ∠E = 90° , ∠F = 42.88°
  • (iv)
    ∠D = 94.94° , ∠E = 48.35° , ∠F = 36.71°
  • (v)
    ∠D = 57.56° , ∠E = 76.87° , ∠F = 45.57°
Question 14
14.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠J = 33.69° , ∠K = 90° , ∠L = 56.31°
  • (ii)
    ∠J = 67.38° , ∠K = 59.49° , ∠L = 53.13°
  • (iii)
    ∠J = 67.38° , ∠K = 53.13° , ∠L = 59.49°
  • (iv)
    ∠J = 45° , ∠K = 90° , ∠L = 45°
  • (v)
    ∠J = 107.5° , ∠K = 39.48° , ∠L = 33.02°
Question 15
15.
Which of the following are measures of an equilateral triangle ?
  • (i)
    PQ = 15 cm , QR = 15 cm , RP = 15 cm
  • (ii)
    PQ = 11 cm , QR = 15 cm , RP = 13 cm
  • (iii)
    PQ = 14 cm , QR = 14 cm , RP = 19.8 cm
  • (iv)
    PQ = 10 cm , QR = 14 cm , RP = 10 cm
  • (v)
    PQ = 10 cm , QR = 12 cm , RP = 15.62 cm
Question 16
16.
Which of the following are measures of an isosceles triangle ?
  • (i)
    IJ = 13 cm , JK = 14 cm , KI = 13 cm
  • (ii)
    IJ = 12 cm , JK = 13 cm , KI = 17.69 cm
  • (iii)
    IJ = 13 cm , JK = 11 cm , KI = 14 cm
  • (iv)
    IJ = 10 cm , JK = 10 cm , KI = 10 cm
  • (v)
    IJ = 10 cm , JK = 14 cm , KI = 12 cm
Question 17
17.
Which of the following are measures of a scalene triangle ?
  • (i)
    JK = 10 cm , KL = 11 cm , LJ = 10 cm
  • (ii)
    JK = 15 cm , KL = 15 cm , LJ = 21.21 cm
  • (iii)
    JK = 12 cm , KL = 11 cm , LJ = 12 cm
  • (iv)
    JK = 11 cm , KL = 12 cm , LJ = 10 cm
  • (v)
    JK = 14 cm , KL = 14 cm , LJ = 14 cm
Question 18
18.
Which of the following are measures of a right angled triangle ?
  • (i)
    EF = 11 cm , FG = 13 cm , GE = 17.03 cm
  • (ii)
    EF = 14 cm , FG = 15 cm , GE = 13 cm
  • (iii)
    EF = 10 cm , FG = 11 cm , GE = 14 cm
  • (iv)
    EF = 14 cm , FG = 14 cm , GE = 14 cm
  • (v)
    EF = 12 cm , FG = 19 cm , GE = 10 cm
Question 19
19.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    GH = 12 cm , HI = 12 cm , IG = 12 cm
  • (ii)
    GH = 10 cm , HI = 19 cm , IG = 13 cm
  • (iii)
    GH = 14 cm , HI = 14 cm , IG = 19.8 cm
  • (iv)
    GH = 13 cm , HI = 11 cm , IG = 14 cm
  • (v)
    GH = 10 cm , HI = 12 cm , IG = 14 cm
Question 20
20.
Which of the following are measures of an acute angled triangle ?
  • (i)
    DE = 14 cm , EF = 14 cm , FD = 11 cm
  • (ii)
    DE = 12 cm , EF = 14 cm , FD = 18.44 cm
  • (iii)
    DE = 12 cm , EF = 24 cm , FD = 14 cm
  • (iv)
    DE = 15 cm , EF = 19 cm , FD = 10 cm
  • (v)
    DE = 13 cm , EF = 13 cm , FD = 18.38 cm
Question 21
21.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    JK = 14 cm , KL = 10 cm , LJ = 14 cm
  • (ii)
    JK = 11 cm , KL = 21 cm , LJ = 14 cm
  • (iii)
    JK = 14 cm , KL = 12 cm , LJ = 18.44 cm
  • (iv)
    JK = 12 cm , KL = 12 cm , LJ = 16.97 cm
  • (v)
    JK = 13 cm , KL = 12 cm , LJ = 11 cm
Question 22
22.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠K = 47.12° , ∠L = 90° , ∠M = 42.88°
  • (ii)
    ∠K = 45° , ∠L = 90° , ∠M = 45°
  • (iii)
    ∠K = 40.16° , ∠L = 64.53° , ∠M = 75.31°
  • (iv)
    ∠K = 65.6° , ∠L = 57.2° , ∠M = 57.2°
  • (v)
    ∠K = 60° , ∠L = 60° , ∠M = 60°
Question 23
23.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠B = 85.98° , ∠C = 47.01° , ∠D = 47.01°
  • (ii)
    ∠B = 51.32° , ∠C = 69.51° , ∠D = 59.17°
  • (iii)
    ∠B = 44.42° , ∠C = 62.96° , ∠D = 72.62°
  • (iv)
    ∠B = 39.81° , ∠C = 90° , ∠D = 50.19°
  • (v)
    ∠B = 60° , ∠C = 60° , ∠D = 60°
Question 24
24.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠C = 72.44° , ∠D = 53.78° , ∠E = 53.78°
  • (ii)
    ∠C = 61.26° , ∠D = 71.79° , ∠E = 46.95°
  • (iii)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
  • (iv)
    ∠C = 45° , ∠D = 90° , ∠E = 45°
Question 25
25.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠C = 42.51° , ∠D = 90° , ∠E = 47.49°
  • (ii)
    ∠C = 59.3° , ∠D = 52.02° , ∠E = 68.68°
  • (iii)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
  • (iv)
    ∠C = 123.24° , ∠D = 27.14° , ∠E = 29.62°
  • (v)
    ∠C = 41.65° , ∠D = 85.46° , ∠E = 52.89°
Question 26
26.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠P = 60° , ∠Q = 60° , ∠R = 60°
  • (ii)
    ∠P = 48.37° , ∠Q = 76.33° , ∠R = 55.3°
  • (iii)
    ∠P = 134.62° , ∠Q = 20.85° , ∠R = 24.53°
  • (iv)
    ∠P = 46.46° , ∠Q = 81.28° , ∠R = 52.26°
  • (v)
    ∠P = 45° , ∠Q = 90° , ∠R = 45°
Question 27
27.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠G = 45° , ∠H = 90° , ∠I = 45°
  • (ii)
    ∠G = 52.43° , ∠H = 90° , ∠I = 37.57°
  • (iii)
    ∠G = 109.47° , ∠H = 38.94° , ∠I = 31.59°
  • (iv)
    ∠G = 57.12° , ∠H = 44.42° , ∠I = 78.46°
  • (v)
    ∠G = 97.18° , ∠H = 41.41° , ∠I = 41.41°
Question 28
28.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠P = 49.4° , ∠Q = 90° , ∠R = 40.6°
  • (ii)
    ∠P = 116.78° , ∠Q = 32.92° , ∠R = 30.3°
  • (iii)
    ∠P = 45° , ∠Q = 90° , ∠R = 45°
  • (iv)
    ∠P = 54.97° , ∠Q = 62.52° , ∠R = 62.51°
  • (v)
    ∠P = 48.37° , ∠Q = 55.3° , ∠R = 76.33°
Question 29
29.
Find the measures of the three sides suitable to form a triangle?
  • (i)
    FG = 11 cm , GH = 15 cm , HF = 14 cm
  • (ii)
    FG = 9 cm , GH = 20 cm , HF = 9 cm
  • (iii)
    FG = 7 cm , GH = 5 cm , HF = 14 cm
  • (iv)
    FG = 5 cm , GH = 18 cm , HF = 6 cm
  • (v)
    FG = 18 cm , GH = 10 cm , HF = 7 cm
Question 30
30.
Find the measures of the three angles suitable to form a triangle?
  • (i)
    ∠C = 105.70° , ∠D = 120.30° , ∠E = 49.30°
  • (ii)
    ∠C = 52.80° , ∠D = 119.10° , ∠E = 35.50°
  • (iii)
    ∠C = 71.79° , ∠D = 46.95° , ∠E = 61.26°
  • (iv)
    ∠C = 45.80° , ∠D = 62.80° , ∠E = 68.30°
  • (v)
    ∠C = 86.60° , ∠D = 89.90° , ∠E = 93.40°
    Assignment Key

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