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)
    IJ = 12 cm , JK = 11 cm , KI = 12 cm
  • (ii)
    IJ = 13 cm , JK = 13 cm , KI = 13 cm
  • (iii)
    IJ = 10 cm , JK = 13 cm , KI = 16.4 cm
  • (iv)
    IJ = 13 cm , JK = 13 cm , KI = 18.38 cm
  • (v)
    IJ = 10 cm , JK = 13 cm , KI = 11 cm
Question 2
2.
Which of the following are measures of an isosceles triangle ?
  • (i)
    FG = 13 cm , GH = 13 cm , HF = 13 cm
  • (ii)
    FG = 11 cm , GH = 15 cm , HF = 18.6 cm
  • (iii)
    FG = 14 cm , GH = 11 cm , HF = 12 cm
  • (iv)
    FG = 11 cm , GH = 15 cm , HF = 11 cm
  • (v)
    FG = 13 cm , GH = 11 cm , HF = 14 cm
Question 3
3.
Which of the following are measures of a scalene triangle ?
  • (i)
    HI = 15 cm , IJ = 15 cm , JH = 15 cm
  • (ii)
    HI = 15 cm , IJ = 12 cm , JH = 15 cm
  • (iii)
    HI = 12 cm , IJ = 11 cm , JH = 15 cm
  • (iv)
    HI = 10 cm , IJ = 10 cm , JH = 14.14 cm
  • (v)
    HI = 10 cm , IJ = 12 cm , JH = 10 cm
Question 4
4.
Which of the following are measures of a right angled triangle ?
  • (i)
    LM = 14 cm , MN = 24 cm , NL = 13 cm
  • (ii)
    LM = 13 cm , MN = 10 cm , NL = 13 cm
  • (iii)
    LM = 12 cm , MN = 11 cm , NL = 15 cm
  • (iv)
    LM = 11 cm , MN = 10 cm , NL = 14.87 cm
  • (v)
    LM = 15 cm , MN = 15 cm , NL = 15 cm
Question 5
5.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    NO = 13 cm , OP = 20 cm , PN = 14 cm
  • (ii)
    NO = 11 cm , OP = 14 cm , PN = 13 cm
  • (iii)
    NO = 14 cm , OP = 14 cm , PN = 14 cm
  • (iv)
    NO = 13 cm , OP = 13 cm , PN = 18.38 cm
  • (v)
    NO = 15 cm , OP = 11 cm , PN = 15 cm
Question 6
6.
Which of the following are measures of an acute angled triangle ?
  • (i)
    IJ = 15 cm , JK = 15 cm , KI = 21.21 cm
  • (ii)
    IJ = 10 cm , JK = 14 cm , KI = 17.2 cm
  • (iii)
    IJ = 11 cm , JK = 12 cm , KI = 15 cm
  • (iv)
    IJ = 12 cm , JK = 18 cm , KI = 11 cm
  • (v)
    IJ = 10 cm , JK = 16 cm , KI = 11 cm
Question 7
7.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    NO = 10 cm , OP = 11 cm , PN = 10 cm
  • (ii)
    NO = 10 cm , OP = 13 cm , PN = 14 cm
  • (iii)
    NO = 14 cm , OP = 15 cm , PN = 20.52 cm
  • (iv)
    NO = 13 cm , OP = 18 cm , PN = 10 cm
  • (v)
    NO = 15 cm , OP = 15 cm , PN = 21.21 cm
Question 8
8.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠N = 85.98° , ∠O = 47.01° , ∠P = 47.01°
  • (ii)
    ∠N = 35.54° , ∠O = 90° , ∠P = 54.46°
  • (iii)
    ∠N = 60° , ∠O = 60° , ∠P = 60°
  • (iv)
    ∠N = 50.13° , ∠O = 56.25° , ∠P = 73.62°
  • (v)
    ∠N = 45° , ∠O = 90° , ∠P = 45°
Question 9
9.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠C = 47.16° , ∠D = 91.04° , ∠E = 41.8°
  • (ii)
    ∠C = 42.27° , ∠D = 90° , ∠E = 47.73°
  • (iii)
    ∠C = 77.36° , ∠D = 51.32° , ∠E = 51.32°
  • (iv)
    ∠C = 62.96° , ∠D = 44.42° , ∠E = 72.62°
  • (v)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
Question 10
10.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠J = 81.08° , ∠K = 49.46° , ∠L = 49.46°
  • (ii)
    ∠J = 38.94° , ∠K = 70.53° , ∠L = 70.53°
  • (iii)
    ∠J = 45° , ∠K = 90° , ∠L = 45°
  • (iv)
    ∠J = 70.81° , ∠K = 47.91° , ∠L = 61.28°
  • (v)
    ∠J = 60° , ∠K = 60° , ∠L = 60°
Question 11
11.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠H = 44.42° , ∠I = 78.46° , ∠J = 57.12°
  • (ii)
    ∠H = 132.17° , ∠I = 28.14° , ∠J = 19.69°
  • (iii)
    ∠H = 60° , ∠I = 60° , ∠J = 60°
  • (iv)
    ∠H = 47.73° , ∠I = 90° , ∠J = 42.27°
  • (v)
    ∠H = 76.33° , ∠I = 48.37° , ∠J = 55.3°
Question 12
12.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠H = 72.62° , ∠I = 44.42° , ∠J = 62.96°
  • (ii)
    ∠H = 45° , ∠I = 90° , ∠J = 45°
  • (iii)
    ∠H = 83.47° , ∠I = 51.32° , ∠J = 45.21°
  • (iv)
    ∠H = 60° , ∠I = 60° , ∠J = 60°
  • (v)
    ∠H = 128.32° , ∠I = 25.84° , ∠J = 25.84°
Question 13
13.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠D = 119.06° , ∠E = 31.63° , ∠F = 29.31°
  • (ii)
    ∠D = 130.54° , ∠E = 22.33° , ∠F = 27.13°
  • (iii)
    ∠D = 45° , ∠E = 90° , ∠F = 45°
  • (iv)
    ∠D = 52.43° , ∠E = 90° , ∠F = 37.57°
  • (v)
    ∠D = 57.12° , ∠E = 78.46° , ∠F = 44.42°
Question 14
14.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠H = 45° , ∠I = 90° , ∠J = 45°
  • (ii)
    ∠H = 64.97° , ∠I = 50.06° , ∠J = 64.97°
  • (iii)
    ∠H = 52.62° , ∠I = 67.97° , ∠J = 59.41°
  • (iv)
    ∠H = 50.19° , ∠I = 90° , ∠J = 39.81°
  • (v)
    ∠H = 95.52° , ∠I = 40.31° , ∠J = 44.17°
Question 15
15.
Which of the following are measures of an equilateral triangle ?
  • (i)
    FG = 14 cm , GH = 14 cm , HF = 19.8 cm
  • (ii)
    FG = 14 cm , GH = 13 cm , HF = 15 cm
  • (iii)
    FG = 12 cm , GH = 13 cm , HF = 12 cm
  • (iv)
    FG = 13 cm , GH = 15 cm , HF = 19.85 cm
  • (v)
    FG = 14 cm , GH = 14 cm , HF = 14 cm
Question 16
16.
Which of the following are measures of an isosceles triangle ?
  • (i)
    NO = 13 cm , OP = 14 cm , PN = 15 cm
  • (ii)
    NO = 11 cm , OP = 15 cm , PN = 11 cm
  • (iii)
    NO = 14 cm , OP = 14 cm , PN = 14 cm
  • (iv)
    NO = 10 cm , OP = 11 cm , PN = 14 cm
  • (v)
    NO = 13 cm , OP = 11 cm , PN = 17.03 cm
Question 17
17.
Which of the following are measures of a scalene triangle ?
  • (i)
    HI = 13 cm , IJ = 15 cm , JH = 10 cm
  • (ii)
    HI = 10 cm , IJ = 10 cm , JH = 14.14 cm
  • (iii)
    HI = 13 cm , IJ = 11 cm , JH = 13 cm
  • (iv)
    HI = 11 cm , IJ = 12 cm , JH = 11 cm
  • (v)
    HI = 11 cm , IJ = 11 cm , JH = 11 cm
Question 18
18.
Which of the following are measures of a right angled triangle ?
  • (i)
    FG = 10 cm , GH = 14 cm , HF = 11 cm
  • (ii)
    FG = 10 cm , GH = 12 cm , HF = 12 cm
  • (iii)
    FG = 10 cm , GH = 19 cm , HF = 10 cm
  • (iv)
    FG = 12 cm , GH = 10 cm , HF = 15.62 cm
  • (v)
    FG = 11 cm , GH = 11 cm , HF = 11 cm
Question 19
19.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    KL = 11 cm , LM = 11 cm , MK = 15.56 cm
  • (ii)
    KL = 14 cm , LM = 14 cm , MK = 14 cm
  • (iii)
    KL = 13 cm , LM = 19 cm , MK = 11 cm
  • (iv)
    KL = 12 cm , LM = 10 cm , MK = 11 cm
  • (v)
    KL = 14 cm , LM = 10 cm , MK = 13 cm
Question 20
20.
Which of the following are measures of an acute angled triangle ?
  • (i)
    HI = 13 cm , IJ = 20 cm , JH = 10 cm
  • (ii)
    HI = 12 cm , IJ = 12 cm , JH = 16.97 cm
  • (iii)
    HI = 10 cm , IJ = 15 cm , JH = 18.03 cm
  • (iv)
    HI = 12 cm , IJ = 15 cm , JH = 10 cm
  • (v)
    HI = 15 cm , IJ = 19 cm , JH = 11 cm
Question 21
21.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    IJ = 12 cm , JK = 12 cm , KI = 16.97 cm
  • (ii)
    IJ = 15 cm , JK = 12 cm , KI = 19.21 cm
  • (iii)
    IJ = 13 cm , JK = 13 cm , KI = 10 cm
  • (iv)
    IJ = 11 cm , JK = 19 cm , KI = 12 cm
  • (v)
    IJ = 14 cm , JK = 14 cm , KI = 10 cm
Question 22
22.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠G = 45° , ∠H = 90° , ∠I = 45°
  • (ii)
    ∠G = 47.16° , ∠H = 41.8° , ∠I = 91.04°
  • (iii)
    ∠G = 42.71° , ∠H = 90° , ∠I = 47.29°
  • (iv)
    ∠G = 81.08° , ∠H = 49.46° , ∠I = 49.46°
  • (v)
    ∠G = 60° , ∠H = 60° , ∠I = 60°
Question 23
23.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠G = 60° , ∠H = 60° , ∠I = 60°
  • (ii)
    ∠G = 52.89° , ∠H = 85.46° , ∠I = 41.65°
  • (iii)
    ∠G = 74.85° , ∠H = 55.83° , ∠I = 49.32°
  • (iv)
    ∠G = 46.26° , ∠H = 66.87° , ∠I = 66.87°
  • (v)
    ∠G = 47.49° , ∠H = 90° , ∠I = 42.51°
Question 24
24.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠O = 77.36° , ∠P = 51.32° , ∠Q = 51.32°
  • (ii)
    ∠O = 64.53° , ∠P = 75.31° , ∠Q = 40.16°
  • (iii)
    ∠O = 45° , ∠P = 90° , ∠Q = 45°
  • (iv)
    ∠O = 65.6° , ∠P = 57.2° , ∠Q = 57.2°
  • (v)
    ∠O = 60° , ∠P = 60° , ∠Q = 60°
Question 25
25.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠C = 69.51° , ∠D = 51.32° , ∠E = 59.17°
  • (ii)
    ∠C = 133.81° , ∠D = 22.12° , ∠E = 24.07°
  • (iii)
    ∠C = 36.25° , ∠D = 90° , ∠E = 53.75°
  • (iv)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
  • (v)
    ∠C = 52.02° , ∠D = 68.68° , ∠E = 59.3°
Question 26
26.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠A = 45° , ∠B = 90° , ∠C = 45°
  • (ii)
    ∠A = 105.64° , ∠B = 42.38° , ∠C = 31.98°
  • (iii)
    ∠A = 61.28° , ∠B = 48.74° , ∠C = 69.98°
  • (iv)
    ∠A = 47.91° , ∠B = 61.28° , ∠C = 70.81°
  • (v)
    ∠A = 60° , ∠B = 60° , ∠C = 60°
Question 27
27.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠J = 50.19° , ∠K = 90° , ∠L = 39.81°
  • (ii)
    ∠J = 45° , ∠K = 90° , ∠L = 45°
  • (iii)
    ∠J = 45.57° , ∠K = 57.56° , ∠L = 76.87°
  • (iv)
    ∠J = 102.91° , ∠K = 40.53° , ∠L = 36.56°
  • (v)
    ∠J = 94.94° , ∠K = 36.71° , ∠L = 48.35°
Question 28
28.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠C = 45° , ∠D = 90° , ∠E = 45°
  • (ii)
    ∠C = 55.64° , ∠D = 62.18° , ∠E = 62.18°
  • (iii)
    ∠C = 36.25° , ∠D = 90° , ∠E = 53.75°
  • (iv)
    ∠C = 72.44° , ∠D = 53.78° , ∠E = 53.78°
  • (v)
    ∠C = 132.72° , ∠D = 21.55° , ∠E = 25.73°
Question 29
29.
Find the measures of the three sides suitable to form a triangle?
  • (i)
    IJ = 6 cm , JK = 20 cm , KI = 6 cm
  • (ii)
    IJ = 13 cm , JK = 20 cm , KI = 5 cm
  • (iii)
    IJ = 5 cm , JK = 7 cm , KI = 18 cm
  • (iv)
    IJ = 6 cm , JK = 19 cm , KI = 10 cm
  • (v)
    IJ = 14 cm , JK = 12 cm , KI = 10 cm
Question 30
30.
Find the measures of the three angles suitable to form a triangle?
  • (i)
    ∠N = 43.60° , ∠O = 86.20° , ∠P = 35.10°
  • (ii)
    ∠N = 81.28° , ∠O = 46.46° , ∠P = 52.26°
  • (iii)
    ∠N = 83.80° , ∠O = 39.50° , ∠P = 108.90°
  • (iv)
    ∠N = 53.50° , ∠O = 53.90° , ∠P = 74.10°
  • (v)
    ∠N = 120.30° , ∠O = 110.40° , ∠P = 97.90°
    Assignment Key

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