EduSahara™ Assignment
Name : Types of Triangles
Chapter : Triangles
Grade : ICSE Grade VI
License : Non Commercial Use
Question 1
1.
Which of the following are measures of an equilateral triangle ?
  • (i)
    BC = 10 cm , CD = 10 cm , DB = 10 cm
  • (ii)
    BC = 10 cm , CD = 14 cm , DB = 15 cm
  • (iii)
    BC = 10 cm , CD = 12 cm , DB = 10 cm
  • (iv)
    BC = 12 cm , CD = 13 cm , DB = 17.69 cm
  • (v)
    BC = 10 cm , CD = 10 cm , DB = 14.14 cm
Question 2
2.
Which of the following are measures of an isosceles triangle ?
  • (i)
    GH = 14 cm , HI = 15 cm , IG = 12 cm
  • (ii)
    GH = 14 cm , HI = 14 cm , IG = 14 cm
  • (iii)
    GH = 10 cm , HI = 14 cm , IG = 17.2 cm
  • (iv)
    GH = 14 cm , HI = 11 cm , IG = 15 cm
  • (v)
    GH = 14 cm , HI = 15 cm , IG = 14 cm
Question 3
3.
Which of the following are measures of a scalene triangle ?
  • (i)
    LM = 10 cm , MN = 12 cm , NL = 10 cm
  • (ii)
    LM = 11 cm , MN = 12 cm , NL = 11 cm
  • (iii)
    LM = 14 cm , MN = 14 cm , NL = 19.8 cm
  • (iv)
    LM = 14 cm , MN = 14 cm , NL = 14 cm
  • (v)
    LM = 10 cm , MN = 13 cm , NL = 15 cm
Question 4
4.
Which of the following are measures of a right angled triangle ?
  • (i)
    PQ = 13 cm , QR = 12 cm , RP = 11 cm
  • (ii)
    PQ = 12 cm , QR = 10 cm , RP = 15 cm
  • (iii)
    PQ = 12 cm , QR = 10 cm , RP = 15.62 cm
  • (iv)
    PQ = 13 cm , QR = 25 cm , RP = 15 cm
  • (v)
    PQ = 11 cm , QR = 11 cm , RP = 11 cm
Question 5
5.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    GH = 12 cm , HI = 15 cm , IG = 14 cm
  • (ii)
    GH = 11 cm , HI = 15 cm , IG = 13 cm
  • (iii)
    GH = 15 cm , HI = 15 cm , IG = 21.21 cm
  • (iv)
    GH = 14 cm , HI = 19 cm , IG = 12 cm
  • (v)
    GH = 15 cm , HI = 15 cm , IG = 15 cm
Question 6
6.
Which of the following are measures of an acute angled triangle ?
  • (i)
    MN = 12 cm , NO = 11 cm , OM = 16.28 cm
  • (ii)
    MN = 11 cm , NO = 11 cm , OM = 15.56 cm
  • (iii)
    MN = 14 cm , NO = 13 cm , OM = 12 cm
  • (iv)
    MN = 12 cm , NO = 20 cm , OM = 12 cm
  • (v)
    MN = 14 cm , NO = 20 cm , OM = 10 cm
Question 7
7.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    MN = 11 cm , NO = 11 cm , OM = 15.56 cm
  • (ii)
    MN = 15 cm , NO = 23 cm , OM = 11 cm
  • (iii)
    MN = 11 cm , NO = 13 cm , OM = 17.03 cm
  • (iv)
    MN = 13 cm , NO = 15 cm , OM = 12 cm
  • (v)
    MN = 13 cm , NO = 12 cm , OM = 13 cm
Question 8
8.
Which of the following are measures of an equilateral triangle ?
  • (i)
    LM = 13 cm , MN = 11 cm , NL = 17.03 cm
  • (ii)
    LM = 12 cm , MN = 12 cm , NL = 16.97 cm
  • (iii)
    LM = 10 cm , MN = 11 cm , NL = 10 cm
  • (iv)
    LM = 11 cm , MN = 11 cm , NL = 11 cm
  • (v)
    LM = 13 cm , MN = 10 cm , NL = 14 cm
Question 9
9.
Which of the following are measures of an isosceles triangle ?
  • (i)
    FG = 13 cm , GH = 12 cm , HF = 17.69 cm
  • (ii)
    FG = 10 cm , GH = 10 cm , HF = 10 cm
  • (iii)
    FG = 10 cm , GH = 12 cm , HF = 10 cm
  • (iv)
    FG = 14 cm , GH = 15 cm , HF = 11 cm
  • (v)
    FG = 11 cm , GH = 13 cm , HF = 15 cm
Question 10
10.
Which of the following are measures of a scalene triangle ?
  • (i)
    JK = 15 cm , KL = 15 cm , LJ = 15 cm
  • (ii)
    JK = 13 cm , KL = 13 cm , LJ = 18.38 cm
  • (iii)
    JK = 12 cm , KL = 15 cm , LJ = 12 cm
  • (iv)
    JK = 10 cm , KL = 14 cm , LJ = 10 cm
  • (v)
    JK = 11 cm , KL = 10 cm , LJ = 13 cm
Question 11
11.
Which of the following are measures of a right angled triangle ?
  • (i)
    MN = 12 cm , NO = 15 cm , OM = 19.21 cm
  • (ii)
    MN = 14 cm , NO = 15 cm , OM = 12 cm
  • (iii)
    MN = 11 cm , NO = 15 cm , OM = 12 cm
  • (iv)
    MN = 10 cm , NO = 10 cm , OM = 10 cm
  • (v)
    MN = 10 cm , NO = 18 cm , OM = 15 cm
Question 12
12.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    LM = 12 cm , MN = 12 cm , NL = 16.97 cm
  • (ii)
    LM = 12 cm , MN = 22 cm , NL = 12 cm
  • (iii)
    LM = 12 cm , MN = 10 cm , NL = 15 cm
  • (iv)
    LM = 12 cm , MN = 12 cm , NL = 12 cm
  • (v)
    LM = 14 cm , MN = 15 cm , NL = 12 cm
Question 13
13.
Which of the following are measures of an acute angled triangle ?
  • (i)
    DE = 15 cm , EF = 15 cm , FD = 15 cm
  • (ii)
    DE = 11 cm , EF = 21 cm , FD = 15 cm
  • (iii)
    DE = 13 cm , EF = 12 cm , FD = 17.69 cm
  • (iv)
    DE = 12 cm , EF = 22 cm , FD = 15 cm
  • (v)
    DE = 13 cm , EF = 13 cm , FD = 18.38 cm
Question 14
14.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    BC = 15 cm , CD = 10 cm , DB = 15 cm
  • (ii)
    BC = 10 cm , CD = 10 cm , DB = 14.14 cm
  • (iii)
    BC = 10 cm , CD = 15 cm , DB = 18.03 cm
  • (iv)
    BC = 10 cm , CD = 18 cm , DB = 10 cm
  • (v)
    BC = 10 cm , CD = 10 cm , DB = 10 cm
Question 15
15.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠D = 47.16° , ∠E = 91.04° , ∠F = 41.8°
  • (ii)
    ∠D = 45° , ∠E = 90° , ∠F = 45°
  • (iii)
    ∠D = 47.16° , ∠E = 66.42° , ∠F = 66.42°
  • (iv)
    ∠D = 60° , ∠E = 60° , ∠F = 60°
  • (v)
    ∠D = 35.54° , ∠E = 90° , ∠F = 54.46°
Question 16
16.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠E = 60° , ∠F = 60° , ∠G = 60°
  • (ii)
    ∠E = 55.83° , ∠F = 74.85° , ∠G = 49.32°
  • (iii)
    ∠E = 88.86° , ∠F = 45.57° , ∠G = 45.57°
  • (iv)
    ∠E = 44.42° , ∠F = 78.46° , ∠G = 57.12°
  • (v)
    ∠E = 53.75° , ∠F = 90° , ∠G = 36.25°
Question 17
17.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠M = 60° , ∠N = 60° , ∠O = 60°
  • (ii)
    ∠M = 45° , ∠N = 90° , ∠O = 45°
  • (iii)
    ∠M = 72.62° , ∠N = 44.42° , ∠O = 62.96°
  • (iv)
    ∠M = 64.78° , ∠N = 57.61° , ∠O = 57.61°
  • (v)
    ∠M = 38.94° , ∠N = 70.53° , ∠O = 70.53°
Question 18
18.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠G = 53.75° , ∠H = 90° , ∠I = 36.25°
  • (ii)
    ∠G = 60° , ∠H = 60° , ∠I = 60°
  • (iii)
    ∠G = 80.25° , ∠H = 58.67° , ∠I = 41.08°
  • (iv)
    ∠G = 69.98° , ∠H = 61.28° , ∠I = 48.74°
  • (v)
    ∠G = 125.43° , ∠H = 28.38° , ∠I = 26.19°
Question 19
19.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠N = 73.62° , ∠O = 56.25° , ∠P = 50.13°
  • (ii)
    ∠N = 76.33° , ∠O = 55.3° , ∠P = 48.37°
  • (iii)
    ∠N = 45° , ∠O = 90° , ∠P = 45°
  • (iv)
    ∠N = 60° , ∠O = 60° , ∠P = 60°
  • (v)
    ∠N = 99.42° , ∠O = 32.86° , ∠P = 47.72°
Question 20
20.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠J = 132.17° , ∠K = 28.14° , ∠L = 19.69°
  • (ii)
    ∠J = 45° , ∠K = 90° , ∠L = 45°
  • (iii)
    ∠J = 128.32° , ∠K = 25.84° , ∠L = 25.84°
  • (iv)
    ∠J = 43.03° , ∠K = 90° , ∠L = 46.97°
  • (v)
    ∠J = 81.08° , ∠K = 49.46° , ∠L = 49.46°
Question 21
21.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠M = 64.32° , ∠N = 51.36° , ∠O = 64.32°
  • (ii)
    ∠M = 92.02° , ∠N = 41.78° , ∠O = 46.2°
  • (iii)
    ∠M = 64.63° , ∠N = 64.62° , ∠O = 50.75°
  • (iv)
    ∠M = 51.84° , ∠N = 90° , ∠O = 38.16°
  • (v)
    ∠M = 45° , ∠N = 90° , ∠O = 45°
Question 22
22.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠J = 57.12° , ∠K = 44.42° , ∠L = 78.46°
  • (ii)
    ∠J = 45° , ∠K = 90° , ∠L = 45°
  • (iii)
    ∠J = 60° , ∠K = 60° , ∠L = 60°
  • (iv)
    ∠J = 39.81° , ∠K = 90° , ∠L = 50.19°
  • (v)
    ∠J = 88.86° , ∠K = 45.57° , ∠L = 45.57°
Question 23
23.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠F = 60° , ∠G = 60° , ∠H = 60°
  • (ii)
    ∠F = 41.65° , ∠G = 52.89° , ∠H = 85.46°
  • (iii)
    ∠F = 79.04° , ∠G = 50.48° , ∠H = 50.48°
  • (iv)
    ∠F = 42.27° , ∠G = 90° , ∠H = 47.73°
  • (v)
    ∠F = 47.91° , ∠G = 70.81° , ∠H = 61.28°
Question 24
24.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠M = 44.42° , ∠N = 57.12° , ∠O = 78.46°
  • (ii)
    ∠M = 70.46° , ∠N = 54.77° , ∠O = 54.77°
  • (iii)
    ∠M = 45.24° , ∠N = 67.38° , ∠O = 67.38°
  • (iv)
    ∠M = 45° , ∠N = 90° , ∠O = 45°
  • (v)
    ∠M = 60° , ∠N = 60° , ∠O = 60°
Question 25
25.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠C = 89.81° , ∠D = 33.75° , ∠E = 56.44°
  • (ii)
    ∠C = 42.27° , ∠D = 90° , ∠E = 47.73°
  • (iii)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
  • (iv)
    ∠C = 38.94° , ∠D = 70.53° , ∠E = 70.53°
  • (v)
    ∠C = 57.56° , ∠D = 45.57° , ∠E = 76.87°
Question 26
26.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠J = 45° , ∠K = 90° , ∠L = 45°
  • (ii)
    ∠J = 108° , ∠K = 34.02° , ∠L = 37.98°
  • (iii)
    ∠J = 60° , ∠K = 60° , ∠L = 60°
  • (iv)
    ∠J = 44.42° , ∠K = 78.46° , ∠L = 57.12°
  • (v)
    ∠J = 76.87° , ∠K = 57.56° , ∠L = 45.57°
Question 27
27.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠M = 111.32° , ∠N = 32.64° , ∠O = 36.04°
  • (ii)
    ∠M = 45° , ∠N = 90° , ∠O = 45°
  • (iii)
    ∠M = 42.51° , ∠N = 90° , ∠O = 47.49°
  • (iv)
    ∠M = 64.97° , ∠N = 64.97° , ∠O = 50.06°
  • (v)
    ∠M = 94.41° , ∠N = 35.91° , ∠O = 49.68°
Question 28
28.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠A = 45° , ∠B = 90° , ∠C = 45°
  • (ii)
    ∠A = 105.64° , ∠B = 31.98° , ∠C = 42.38°
  • (iii)
    ∠A = 52.89° , ∠B = 85.46° , ∠C = 41.65°
  • (iv)
    ∠A = 49.76° , ∠B = 90° , ∠C = 40.24°
  • (v)
    ∠A = 76.33° , ∠B = 48.37° , ∠C = 55.3°
Question 29
29.
Find the measures of the three sides suitable to form a triangle?
  • (i)
    HI = 9 cm , IJ = 19 cm , JH = 9 cm
  • (ii)
    HI = 9 cm , IJ = 20 cm , JH = 5 cm
  • (iii)
    HI = 6 cm , IJ = 19 cm , JH = 9 cm
  • (iv)
    HI = 17 cm , IJ = 10 cm , JH = 5 cm
  • (v)
    HI = 15 cm , IJ = 11 cm , JH = 15 cm
Question 30
30.
Find the measures of the three angles suitable to form a triangle?
  • (i)
    ∠B = 75.80° , ∠C = 40.80° , ∠D = 100.30°
  • (ii)
    ∠B = 82.60° , ∠C = 113.70° , ∠D = 82.70°
  • (iii)
    ∠B = 51.90° , ∠C = 95.80° , ∠D = 109.40°
  • (iv)
    ∠B = 55.83° , ∠C = 49.32° , ∠D = 74.85°
  • (v)
    ∠B = 106.10° , ∠C = 90.50° , ∠D = 42.80°
    Assignment Key
  •  1) (i)
  •  2) (v)
  •  3) (v)
  •  4) (iii)
  •  5) (iii)
  •  6) (iii)
  •  7) (ii)
  •  8) (iv)
  •  9) (iii)
  •  10) (v)
  •  11) (i)
  •  12) (i)
  •  13) (i)
  •  14) (iv)
  •  15) (iv)
  •  16) (iii)
  •  17) (iii)
  •  18) (i)
  •  19) (iii)
  •  20) (v)
  •  21) (ii)
  •  22) (iii)
  •  23) (iii)
  •  24) (i)
  •  25) (ii)
  •  26) (i)
  •  27) (iv)
  •  28) (ii)
  •  29) (v)
  •  30) (iv)