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)
    IJ = 12 cm , JK = 15 cm , KI = 12 cm
  • (ii)
    IJ = 12 cm , JK = 12 cm , KI = 12 cm
  • (iii)
    IJ = 15 cm , JK = 12 cm , KI = 10 cm
  • (iv)
    IJ = 10 cm , JK = 10 cm , KI = 14.14 cm
  • (v)
    IJ = 10 cm , JK = 15 cm , KI = 18.03 cm
Question 2
2.
Which of the following are measures of an isosceles triangle ?
  • (i)
    JK = 14 cm , KL = 14 cm , LJ = 14 cm
  • (ii)
    JK = 15 cm , KL = 12 cm , LJ = 15 cm
  • (iii)
    JK = 15 cm , KL = 14 cm , LJ = 20.52 cm
  • (iv)
    JK = 10 cm , KL = 13 cm , LJ = 14 cm
  • (v)
    JK = 15 cm , KL = 13 cm , LJ = 11 cm
Question 3
3.
Which of the following are measures of a scalene triangle ?
  • (i)
    KL = 10 cm , LM = 10 cm , MK = 10 cm
  • (ii)
    KL = 10 cm , LM = 10 cm , MK = 14.14 cm
  • (iii)
    KL = 14 cm , LM = 11 cm , MK = 14 cm
  • (iv)
    KL = 14 cm , LM = 11 cm , MK = 15 cm
  • (v)
    KL = 10 cm , LM = 13 cm , MK = 10 cm
Question 4
4.
Which of the following are measures of a right angled triangle ?
  • (i)
    GH = 11 cm , HI = 10 cm , IG = 12 cm
  • (ii)
    GH = 13 cm , HI = 12 cm , IG = 10 cm
  • (iii)
    GH = 10 cm , HI = 10 cm , IG = 10 cm
  • (iv)
    GH = 12 cm , HI = 10 cm , IG = 15.62 cm
  • (v)
    GH = 13 cm , HI = 19 cm , IG = 10 cm
Question 5
5.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    OP = 10 cm , PQ = 12 cm , QO = 15 cm
  • (ii)
    OP = 14 cm , PQ = 14 cm , QO = 19.8 cm
  • (iii)
    OP = 14 cm , PQ = 24 cm , QO = 15 cm
  • (iv)
    OP = 12 cm , PQ = 13 cm , QO = 15 cm
  • (v)
    OP = 12 cm , PQ = 12 cm , QO = 12 cm
Question 6
6.
Which of the following are measures of an acute angled triangle ?
  • (i)
    KL = 14 cm , LM = 19 cm , MK = 10 cm
  • (ii)
    KL = 13 cm , LM = 12 cm , MK = 11 cm
  • (iii)
    KL = 15 cm , LM = 11 cm , MK = 18.6 cm
  • (iv)
    KL = 11 cm , LM = 18 cm , MK = 11 cm
  • (v)
    KL = 15 cm , LM = 15 cm , MK = 21.21 cm
Question 7
7.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    GH = 10 cm , HI = 12 cm , IG = 15.62 cm
  • (ii)
    GH = 13 cm , HI = 24 cm , IG = 15 cm
  • (iii)
    GH = 12 cm , HI = 12 cm , IG = 16.97 cm
  • (iv)
    GH = 10 cm , HI = 14 cm , IG = 15 cm
  • (v)
    GH = 15 cm , HI = 13 cm , IG = 15 cm
Question 8
8.
Which of the following are measures of an equilateral triangle ?
  • (i)
    CD = 11 cm , DE = 14 cm , EC = 17.8 cm
  • (ii)
    CD = 11 cm , DE = 11 cm , EC = 11 cm
  • (iii)
    CD = 15 cm , DE = 11 cm , EC = 12 cm
  • (iv)
    CD = 13 cm , DE = 14 cm , EC = 13 cm
  • (v)
    CD = 14 cm , DE = 14 cm , EC = 19.8 cm
Question 9
9.
Which of the following are measures of an isosceles triangle ?
  • (i)
    NO = 11 cm , OP = 11 cm , PN = 11 cm
  • (ii)
    NO = 12 cm , OP = 13 cm , PN = 10 cm
  • (iii)
    NO = 12 cm , OP = 15 cm , PN = 11 cm
  • (iv)
    NO = 11 cm , OP = 15 cm , PN = 11 cm
  • (v)
    NO = 15 cm , OP = 13 cm , PN = 19.85 cm
Question 10
10.
Which of the following are measures of a scalene triangle ?
  • (i)
    DE = 13 cm , EF = 12 cm , FD = 15 cm
  • (ii)
    DE = 14 cm , EF = 14 cm , FD = 19.8 cm
  • (iii)
    DE = 13 cm , EF = 15 cm , FD = 13 cm
  • (iv)
    DE = 13 cm , EF = 13 cm , FD = 13 cm
  • (v)
    DE = 10 cm , EF = 13 cm , FD = 10 cm
Question 11
11.
Which of the following are measures of a right angled triangle ?
  • (i)
    MN = 15 cm , NO = 22 cm , OM = 10 cm
  • (ii)
    MN = 15 cm , NO = 13 cm , OM = 12 cm
  • (iii)
    MN = 11 cm , NO = 10 cm , OM = 14.87 cm
  • (iv)
    MN = 15 cm , NO = 11 cm , OM = 14 cm
  • (v)
    MN = 13 cm , NO = 13 cm , OM = 13 cm
Question 12
12.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    GH = 15 cm , HI = 13 cm , IG = 11 cm
  • (ii)
    GH = 14 cm , HI = 18 cm , IG = 10 cm
  • (iii)
    GH = 13 cm , HI = 13 cm , IG = 18.38 cm
  • (iv)
    GH = 15 cm , HI = 12 cm , IG = 15 cm
  • (v)
    GH = 10 cm , HI = 10 cm , IG = 10 cm
Question 13
13.
Which of the following are measures of an acute angled triangle ?
  • (i)
    HI = 14 cm , IJ = 14 cm , JH = 19.8 cm
  • (ii)
    HI = 12 cm , IJ = 18 cm , JH = 12 cm
  • (iii)
    HI = 10 cm , IJ = 19 cm , JH = 14 cm
  • (iv)
    HI = 12 cm , IJ = 13 cm , JH = 15 cm
  • (v)
    HI = 11 cm , IJ = 10 cm , JH = 14.87 cm
Question 14
14.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    NO = 13 cm , OP = 10 cm , PN = 16.4 cm
  • (ii)
    NO = 11 cm , OP = 11 cm , PN = 15 cm
  • (iii)
    NO = 15 cm , OP = 22 cm , PN = 14 cm
  • (iv)
    NO = 13 cm , OP = 15 cm , PN = 15 cm
  • (v)
    NO = 11 cm , OP = 11 cm , PN = 15.56 cm
Question 15
15.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠H = 42.27° , ∠I = 90° , ∠J = 47.73°
  • (ii)
    ∠H = 65.6° , ∠I = 57.2° , ∠J = 57.2°
  • (iii)
    ∠H = 60° , ∠I = 60° , ∠J = 60°
  • (iv)
    ∠H = 52.26° , ∠I = 81.28° , ∠J = 46.46°
  • (v)
    ∠H = 45° , ∠I = 90° , ∠J = 45°
Question 16
16.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠C = 39.81° , ∠D = 90° , ∠E = 50.19°
  • (ii)
    ∠C = 52.02° , ∠D = 59.3° , ∠E = 68.68°
  • (iii)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
  • (iv)
    ∠C = 80.25° , ∠D = 41.08° , ∠E = 58.67°
  • (v)
    ∠C = 72.44° , ∠D = 53.78° , ∠E = 53.78°
Question 17
17.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠C = 88.86° , ∠D = 45.57° , ∠E = 45.57°
  • (ii)
    ∠C = 44.42° , ∠D = 57.12° , ∠E = 78.46°
  • (iii)
    ∠C = 45° , ∠D = 90° , ∠E = 45°
  • (iv)
    ∠C = 97.18° , ∠D = 41.41° , ∠E = 41.41°
  • (v)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
Question 18
18.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠D = 48.37° , ∠E = 55.3° , ∠F = 76.33°
  • (ii)
    ∠D = 60° , ∠E = 60° , ∠F = 60°
  • (iii)
    ∠D = 33.69° , ∠E = 90° , ∠F = 56.31°
  • (iv)
    ∠D = 47.91° , ∠E = 61.28° , ∠F = 70.81°
  • (v)
    ∠D = 89.81° , ∠E = 33.75° , ∠F = 56.44°
Question 19
19.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠I = 45.57° , ∠J = 57.56° , ∠K = 76.87°
  • (ii)
    ∠I = 122.84° , ∠J = 24.84° , ∠K = 32.32°
  • (iii)
    ∠I = 60° , ∠J = 60° , ∠K = 60°
  • (iv)
    ∠I = 45° , ∠J = 90° , ∠K = 45°
  • (v)
    ∠I = 53.78° , ∠J = 72.44° , ∠K = 53.78°
Question 20
20.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠C = 126.46° , ∠D = 26.77° , ∠E = 26.77°
  • (ii)
    ∠C = 45° , ∠D = 90° , ∠E = 45°
  • (iii)
    ∠C = 37.57° , ∠D = 90° , ∠E = 52.43°
  • (iv)
    ∠C = 97.18° , ∠D = 41.41° , ∠E = 41.41°
  • (v)
    ∠C = 49.46° , ∠D = 81.08° , ∠E = 49.46°
Question 21
21.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠K = 45° , ∠L = 90° , ∠M = 45°
  • (ii)
    ∠K = 79.04° , ∠L = 50.48° , ∠M = 50.48°
  • (iii)
    ∠K = 98.21° , ∠L = 34.96° , ∠M = 46.83°
  • (iv)
    ∠K = 64.63° , ∠L = 50.75° , ∠M = 64.62°
  • (v)
    ∠K = 54.46° , ∠L = 90° , ∠M = 35.54°
Question 22
22.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠M = 50.06° , ∠N = 64.97° , ∠O = 64.97°
  • (ii)
    ∠M = 45° , ∠N = 90° , ∠O = 45°
  • (iii)
    ∠M = 74.85° , ∠N = 49.32° , ∠O = 55.83°
  • (iv)
    ∠M = 49.4° , ∠N = 90° , ∠O = 40.6°
  • (v)
    ∠M = 60° , ∠N = 60° , ∠O = 60°
Question 23
23.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠H = 41.8° , ∠I = 91.04° , ∠J = 47.16°
  • (ii)
    ∠H = 97.18° , ∠I = 41.41° , ∠J = 41.41°
  • (iii)
    ∠H = 47.29° , ∠I = 90° , ∠J = 42.71°
  • (iv)
    ∠H = 60° , ∠I = 60° , ∠J = 60°
  • (v)
    ∠H = 56.25° , ∠I = 73.62° , ∠J = 50.13°
Question 24
24.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠F = 45° , ∠G = 90° , ∠H = 45°
  • (ii)
    ∠F = 88.86° , ∠G = 45.57° , ∠H = 45.57°
  • (iii)
    ∠F = 46.26° , ∠G = 66.87° , ∠H = 66.87°
  • (iv)
    ∠F = 60° , ∠G = 60° , ∠H = 60°
  • (v)
    ∠F = 55.83° , ∠G = 74.85° , ∠H = 49.32°
Question 25
25.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠C = 69.98° , ∠D = 61.28° , ∠E = 48.74°
  • (ii)
    ∠C = 51.84° , ∠D = 90° , ∠E = 38.16°
  • (iii)
    ∠C = 105.64° , ∠D = 31.98° , ∠E = 42.38°
  • (iv)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
  • (v)
    ∠C = 46.95° , ∠D = 71.79° , ∠E = 61.26°
Question 26
26.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠D = 46.95° , ∠E = 71.79° , ∠F = 61.26°
  • (ii)
    ∠D = 61.28° , ∠E = 47.91° , ∠F = 70.81°
  • (iii)
    ∠D = 45° , ∠E = 90° , ∠F = 45°
  • (iv)
    ∠D = 60° , ∠E = 60° , ∠F = 60°
  • (v)
    ∠D = 103.43° , ∠E = 45.78° , ∠F = 30.79°
Question 27
27.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠B = 45° , ∠C = 90° , ∠D = 45°
  • (ii)
    ∠B = 47.12° , ∠C = 90° , ∠D = 42.88°
  • (iii)
    ∠B = 120.14° , ∠C = 29.93° , ∠D = 29.93°
  • (iv)
    ∠B = 101.2° , ∠C = 39.4° , ∠D = 39.4°
  • (v)
    ∠B = 45.57° , ∠C = 76.87° , ∠D = 57.56°
Question 28
28.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠F = 62.52° , ∠G = 54.97° , ∠H = 62.51°
  • (ii)
    ∠F = 64.97° , ∠G = 64.97° , ∠H = 50.06°
  • (iii)
    ∠F = 97.18° , ∠G = 41.41° , ∠H = 41.41°
  • (iv)
    ∠F = 38.16° , ∠G = 90° , ∠H = 51.84°
  • (v)
    ∠F = 45° , ∠G = 90° , ∠H = 45°
Question 29
29.
Find the measures of the three sides suitable to form a triangle?
  • (i)
    OP = 6 cm , PQ = 15 cm , QO = 7 cm
  • (ii)
    OP = 6 cm , PQ = 18 cm , QO = 11 cm
  • (iii)
    OP = 14 cm , PQ = 13 cm , QO = 15 cm
  • (iv)
    OP = 16 cm , PQ = 8 cm , QO = 5 cm
  • (v)
    OP = 17 cm , PQ = 10 cm , QO = 6 cm
Question 30
30.
Find the measures of the three angles suitable to form a triangle?
  • (i)
    ∠M = 68.40° , ∠N = 36.90° , ∠O = 100.80°
  • (ii)
    ∠M = 47.91° , ∠N = 70.81° , ∠O = 61.28°
  • (iii)
    ∠M = 64.90° , ∠N = 82.50° , ∠O = 30.70°
  • (iv)
    ∠M = 116.90° , ∠N = 95.10° , ∠O = 54.90°
  • (v)
    ∠M = 83.20° , ∠N = 59.30° , ∠O = 110.30°
    Assignment Key
  •  1) (ii)
  •  2) (ii)
  •  3) (iv)
  •  4) (iv)
  •  5) (ii)
  •  6) (ii)
  •  7) (ii)
  •  8) (ii)
  •  9) (iv)
  •  10) (i)
  •  11) (iii)
  •  12) (iii)
  •  13) (iv)
  •  14) (iii)
  •  15) (iii)
  •  16) (v)
  •  17) (ii)
  •  18) (iii)
  •  19) (iv)
  •  20) (v)
  •  21) (iii)
  •  22) (v)
  •  23) (ii)
  •  24) (v)
  •  25) (ii)
  •  26) (iii)
  •  27) (v)
  •  28) (iii)
  •  29) (iii)
  •  30) (ii)