EduSahara™ Assignment
Name : Types of Triangles
Chapter : Triangles
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
Which of the following are measures of an equilateral triangle ?
  • (i)
    IJ = 10 cm , JK = 10 cm , KI = 10 cm
  • (ii)
    IJ = 14 cm , JK = 14 cm , KI = 19.8 cm
  • (iii)
    IJ = 13 cm , JK = 10 cm , KI = 13 cm
  • (iv)
    IJ = 14 cm , JK = 13 cm , KI = 11 cm
  • (v)
    IJ = 11 cm , JK = 15 cm , KI = 18.6 cm
Question 2
2.
Which of the following are measures of an isosceles triangle ?
  • (i)
    NO = 15 cm , OP = 12 cm , PN = 15 cm
  • (ii)
    NO = 14 cm , OP = 15 cm , PN = 12 cm
  • (iii)
    NO = 13 cm , OP = 13 cm , PN = 13 cm
  • (iv)
    NO = 13 cm , OP = 10 cm , PN = 12 cm
  • (v)
    NO = 10 cm , OP = 11 cm , PN = 14.87 cm
Question 3
3.
Which of the following are measures of a scalene triangle ?
  • (i)
    GH = 11 cm , HI = 13 cm , IG = 11 cm
  • (ii)
    GH = 14 cm , HI = 14 cm , IG = 14 cm
  • (iii)
    GH = 10 cm , HI = 15 cm , IG = 10 cm
  • (iv)
    GH = 13 cm , HI = 10 cm , IG = 12 cm
  • (v)
    GH = 11 cm , HI = 11 cm , IG = 15.56 cm
Question 4
4.
Which of the following are measures of a right angled triangle ?
  • (i)
    OP = 13 cm , PQ = 20 cm , QO = 13 cm
  • (ii)
    OP = 11 cm , PQ = 15 cm , QO = 18.6 cm
  • (iii)
    OP = 15 cm , PQ = 14 cm , QO = 11 cm
  • (iv)
    OP = 10 cm , PQ = 14 cm , QO = 11 cm
  • (v)
    OP = 11 cm , PQ = 11 cm , QO = 11 cm
Question 5
5.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    HI = 13 cm , IJ = 13 cm , JH = 13 cm
  • (ii)
    HI = 10 cm , IJ = 21 cm , JH = 14 cm
  • (iii)
    HI = 12 cm , IJ = 15 cm , JH = 14 cm
  • (iv)
    HI = 13 cm , IJ = 13 cm , JH = 18.38 cm
  • (v)
    HI = 13 cm , IJ = 14 cm , JH = 10 cm
Question 6
6.
Which of the following are measures of an acute angled triangle ?
  • (i)
    GH = 11 cm , HI = 14 cm , IG = 17.8 cm
  • (ii)
    GH = 14 cm , HI = 23 cm , IG = 12 cm
  • (iii)
    GH = 11 cm , HI = 11 cm , IG = 12 cm
  • (iv)
    GH = 12 cm , HI = 18 cm , IG = 10 cm
  • (v)
    GH = 10 cm , HI = 10 cm , IG = 14.14 cm
Question 7
7.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    JK = 15 cm , KL = 10 cm , LJ = 14 cm
  • (ii)
    JK = 14 cm , KL = 13 cm , LJ = 14 cm
  • (iii)
    JK = 15 cm , KL = 14 cm , LJ = 20.52 cm
  • (iv)
    JK = 14 cm , KL = 14 cm , LJ = 19.8 cm
  • (v)
    JK = 13 cm , KL = 22 cm , LJ = 14 cm
Question 8
8.
Which of the following are measures of an equilateral triangle ?
  • (i)
    BC = 14 cm , CD = 14 cm , DB = 19.8 cm
  • (ii)
    BC = 13 cm , CD = 11 cm , DB = 13 cm
  • (iii)
    BC = 11 cm , CD = 11 cm , DB = 11 cm
  • (iv)
    BC = 15 cm , CD = 13 cm , DB = 19.85 cm
  • (v)
    BC = 12 cm , CD = 10 cm , DB = 11 cm
Question 9
9.
Which of the following are measures of an isosceles triangle ?
  • (i)
    LM = 15 cm , MN = 14 cm , NL = 11 cm
  • (ii)
    LM = 12 cm , MN = 12 cm , NL = 12 cm
  • (iii)
    LM = 11 cm , MN = 15 cm , NL = 13 cm
  • (iv)
    LM = 10 cm , MN = 15 cm , NL = 10 cm
  • (v)
    LM = 13 cm , MN = 11 cm , NL = 17.03 cm
Question 10
10.
Which of the following are measures of a scalene triangle ?
  • (i)
    LM = 13 cm , MN = 13 cm , NL = 13 cm
  • (ii)
    LM = 11 cm , MN = 15 cm , NL = 10 cm
  • (iii)
    LM = 11 cm , MN = 11 cm , NL = 15.56 cm
  • (iv)
    LM = 11 cm , MN = 12 cm , NL = 11 cm
  • (v)
    LM = 12 cm , MN = 13 cm , NL = 12 cm
Question 11
11.
Which of the following are measures of a right angled triangle ?
  • (i)
    OP = 12 cm , PQ = 12 cm , QO = 12 cm
  • (ii)
    OP = 11 cm , PQ = 21 cm , QO = 15 cm
  • (iii)
    OP = 13 cm , PQ = 13 cm , QO = 14 cm
  • (iv)
    OP = 10 cm , PQ = 12 cm , QO = 15.62 cm
  • (v)
    OP = 13 cm , PQ = 12 cm , QO = 11 cm
Question 12
12.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    KL = 12 cm , LM = 12 cm , MK = 16.97 cm
  • (ii)
    KL = 12 cm , LM = 15 cm , MK = 11 cm
  • (iii)
    KL = 14 cm , LM = 14 cm , MK = 14 cm
  • (iv)
    KL = 12 cm , LM = 20 cm , MK = 14 cm
  • (v)
    KL = 11 cm , LM = 12 cm , MK = 11 cm
Question 13
13.
Which of the following are measures of an acute angled triangle ?
  • (i)
    JK = 15 cm , KL = 23 cm , LJ = 13 cm
  • (ii)
    JK = 15 cm , KL = 15 cm , LJ = 21.21 cm
  • (iii)
    JK = 12 cm , KL = 10 cm , LJ = 13 cm
  • (iv)
    JK = 13 cm , KL = 12 cm , LJ = 17.69 cm
  • (v)
    JK = 15 cm , KL = 18 cm , LJ = 10 cm
Question 14
14.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    JK = 11 cm , KL = 19 cm , LJ = 11 cm
  • (ii)
    JK = 14 cm , KL = 14 cm , LJ = 19.8 cm
  • (iii)
    JK = 15 cm , KL = 12 cm , LJ = 11 cm
  • (iv)
    JK = 12 cm , KL = 10 cm , LJ = 15.62 cm
  • (v)
    JK = 12 cm , KL = 14 cm , LJ = 15 cm
Question 15
15.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠A = 55.3° , ∠B = 48.37° , ∠C = 76.33°
  • (ii)
    ∠A = 60° , ∠B = 60° , ∠C = 60°
  • (iii)
    ∠A = 45° , ∠B = 90° , ∠C = 45°
  • (iv)
    ∠A = 65.6° , ∠B = 57.2° , ∠C = 57.2°
  • (v)
    ∠A = 47.49° , ∠B = 90° , ∠C = 42.51°
Question 16
16.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠L = 47.29° , ∠M = 90° , ∠N = 42.71°
  • (ii)
    ∠L = 60° , ∠M = 60° , ∠N = 60°
  • (iii)
    ∠L = 59.41° , ∠M = 52.62° , ∠N = 67.97°
  • (iv)
    ∠L = 52.02° , ∠M = 59.3° , ∠N = 68.68°
  • (v)
    ∠L = 47.16° , ∠M = 66.42° , ∠N = 66.42°
Question 17
17.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠D = 47.16° , ∠E = 66.42° , ∠F = 66.42°
  • (ii)
    ∠D = 60° , ∠E = 60° , ∠F = 60°
  • (iii)
    ∠D = 76.33° , ∠E = 55.3° , ∠F = 48.37°
  • (iv)
    ∠D = 46.26° , ∠E = 66.87° , ∠F = 66.87°
  • (v)
    ∠D = 45° , ∠E = 90° , ∠F = 45°
Question 18
18.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠B = 54.46° , ∠C = 90° , ∠D = 35.54°
  • (ii)
    ∠B = 131.42° , ∠C = 20.92° , ∠D = 27.66°
  • (iii)
    ∠B = 60° , ∠C = 60° , ∠D = 60°
  • (iv)
    ∠B = 56.94° , ∠C = 66.12° , ∠D = 56.94°
  • (v)
    ∠B = 71.79° , ∠C = 61.26° , ∠D = 46.95°
Question 19
19.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠H = 45° , ∠I = 90° , ∠J = 45°
  • (ii)
    ∠H = 107.5° , ∠I = 33.02° , ∠J = 39.48°
  • (iii)
    ∠H = 58.67° , ∠I = 41.08° , ∠J = 80.25°
  • (iv)
    ∠H = 60° , ∠I = 60° , ∠J = 60°
  • (v)
    ∠H = 54.77° , ∠I = 70.46° , ∠J = 54.77°
Question 20
20.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠A = 121.87° , ∠B = 26.41° , ∠C = 31.72°
  • (ii)
    ∠A = 51.34° , ∠B = 90° , ∠C = 38.66°
  • (iii)
    ∠A = 116.78° , ∠B = 32.92° , ∠C = 30.3°
  • (iv)
    ∠A = 62.72° , ∠B = 54.56° , ∠C = 62.72°
  • (v)
    ∠A = 45° , ∠B = 90° , ∠C = 45°
Question 21
21.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠I = 107.5° , ∠J = 33.02° , ∠K = 39.48°
  • (ii)
    ∠I = 51.84° , ∠J = 90° , ∠K = 38.16°
  • (iii)
    ∠I = 43.02° , ∠J = 68.49° , ∠K = 68.49°
  • (iv)
    ∠I = 61.28° , ∠J = 48.74° , ∠K = 69.98°
  • (v)
    ∠I = 45° , ∠J = 90° , ∠K = 45°
Question 22
22.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠E = 45° , ∠F = 90° , ∠G = 45°
  • (ii)
    ∠E = 60° , ∠F = 60° , ∠G = 60°
  • (iii)
    ∠E = 79.04° , ∠F = 50.48° , ∠G = 50.48°
  • (iv)
    ∠E = 37.57° , ∠F = 90° , ∠G = 52.43°
  • (v)
    ∠E = 80.25° , ∠F = 41.08° , ∠G = 58.67°
Question 23
23.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠O = 55.83° , ∠P = 74.85° , ∠Q = 49.32°
  • (ii)
    ∠O = 77.36° , ∠P = 51.32° , ∠Q = 51.32°
  • (iii)
    ∠O = 60° , ∠P = 60° , ∠Q = 60°
  • (iv)
    ∠O = 57.56° , ∠P = 45.57° , ∠Q = 76.87°
  • (v)
    ∠O = 40.24° , ∠P = 90° , ∠Q = 49.76°
Question 24
24.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠H = 45° , ∠I = 90° , ∠J = 45°
  • (ii)
    ∠H = 69.51° , ∠I = 59.17° , ∠J = 51.32°
  • (iii)
    ∠H = 88.86° , ∠I = 45.57° , ∠J = 45.57°
  • (iv)
    ∠H = 60° , ∠I = 60° , ∠J = 60°
  • (v)
    ∠H = 97.18° , ∠I = 41.41° , ∠J = 41.41°
Question 25
25.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠O = 53.75° , ∠P = 90° , ∠Q = 36.25°
  • (ii)
    ∠O = 81.28° , ∠P = 52.26° , ∠Q = 46.46°
  • (iii)
    ∠O = 60° , ∠P = 60° , ∠Q = 60°
  • (iv)
    ∠O = 120.14° , ∠P = 29.93° , ∠Q = 29.93°
  • (v)
    ∠O = 50.13° , ∠P = 73.62° , ∠Q = 56.25°
Question 26
26.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠A = 60° , ∠B = 60° , ∠C = 60°
  • (ii)
    ∠A = 45° , ∠B = 90° , ∠C = 45°
  • (iii)
    ∠A = 125.43° , ∠B = 26.19° , ∠C = 28.38°
  • (iv)
    ∠A = 45.21° , ∠B = 51.32° , ∠C = 83.47°
Question 27
27.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠K = 106.26° , ∠L = 36.87° , ∠M = 36.87°
  • (ii)
    ∠K = 98.21° , ∠L = 46.83° , ∠M = 34.96°
  • (iii)
    ∠K = 45° , ∠L = 90° , ∠M = 45°
  • (iv)
    ∠K = 81.28° , ∠L = 46.46° , ∠M = 52.26°
  • (v)
    ∠K = 37.57° , ∠L = 90° , ∠M = 52.43°
Question 28
28.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠I = 47.91° , ∠J = 70.81° , ∠K = 61.28°
  • (ii)
    ∠I = 125.43° , ∠J = 26.19° , ∠K = 28.38°
  • (iii)
    ∠I = 47.29° , ∠J = 90° , ∠K = 42.71°
  • (iv)
    ∠I = 73.69° , ∠J = 43.28° , ∠K = 63.03°
  • (v)
    ∠I = 45° , ∠J = 90° , ∠K = 45°
Question 29
29.
Find the measures of the three sides suitable to form a triangle?
  • (i)
    BC = 13 cm , CD = 14 cm , DB = 11 cm
  • (ii)
    BC = 10 cm , CD = 6 cm , DB = 17 cm
  • (iii)
    BC = 19 cm , CD = 11 cm , DB = 6 cm
  • (iv)
    BC = 7 cm , CD = 5 cm , DB = 13 cm
  • (v)
    BC = 13 cm , CD = 20 cm , DB = 6 cm
Question 30
30.
Find the measures of the three angles suitable to form a triangle?
  • (i)
    ∠J = 53.80° , ∠K = 85.20° , ∠L = 102.70°
  • (ii)
    ∠J = 62.96° , ∠K = 44.42° , ∠L = 72.62°
  • (iii)
    ∠J = 30.60° , ∠K = 72.60° , ∠L = 119.20°
  • (iv)
    ∠J = 64.20° , ∠K = 64.90° , ∠L = 77.40°
  • (v)
    ∠J = 40.50° , ∠K = 97.90° , ∠L = 61.50°
Question 31
31.
In a right angled triangle, if one of the angles is 47.29°, find the third angle
  • (i)
    42.71°
  • (ii)
    47.71°
  • (iii)
    72.71°
  • (iv)
    57.71°
  • (v)
    52.71°
Question 32
32.
In a right angled triangle, if one of the angles is 47.73°, find the third angle
  • (i)
    52.27°
  • (ii)
    72.27°
  • (iii)
    42.27°
  • (iv)
    47.27°
  • (v)
    57.27°
    Assignment Key

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