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 = 12 cm , GH = 15 cm , HF = 12 cm
  • (ii)
    FG = 12 cm , GH = 15 cm , HF = 19.21 cm
  • (iii)
    FG = 12 cm , GH = 13 cm , HF = 14 cm
  • (iv)
    FG = 15 cm , GH = 15 cm , HF = 21.21 cm
  • (v)
    FG = 10 cm , GH = 10 cm , HF = 10 cm
Question 2
2.
Which of the following are measures of an isosceles triangle ?
  • (i)
    GH = 14 cm , HI = 12 cm , IG = 11 cm
  • (ii)
    GH = 10 cm , HI = 12 cm , IG = 15.62 cm
  • (iii)
    GH = 15 cm , HI = 14 cm , IG = 13 cm
  • (iv)
    GH = 10 cm , HI = 12 cm , IG = 10 cm
  • (v)
    GH = 11 cm , HI = 11 cm , IG = 11 cm
Question 3
3.
Which of the following are measures of a scalene triangle ?
  • (i)
    JK = 11 cm , KL = 13 cm , LJ = 11 cm
  • (ii)
    JK = 11 cm , KL = 15 cm , LJ = 13 cm
  • (iii)
    JK = 12 cm , KL = 12 cm , LJ = 12 cm
  • (iv)
    JK = 14 cm , KL = 14 cm , LJ = 19.8 cm
  • (v)
    JK = 13 cm , KL = 14 cm , LJ = 13 cm
Question 4
4.
Which of the following are measures of a right angled triangle ?
  • (i)
    NO = 14 cm , OP = 15 cm , PN = 11 cm
  • (ii)
    NO = 13 cm , OP = 21 cm , PN = 11 cm
  • (iii)
    NO = 14 cm , OP = 11 cm , PN = 17.8 cm
  • (iv)
    NO = 13 cm , OP = 13 cm , PN = 13 cm
  • (v)
    NO = 11 cm , OP = 10 cm , PN = 11 cm
Question 5
5.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    FG = 12 cm , GH = 20 cm , HF = 10 cm
  • (ii)
    FG = 11 cm , GH = 11 cm , HF = 13 cm
  • (iii)
    FG = 11 cm , GH = 13 cm , HF = 10 cm
  • (iv)
    FG = 13 cm , GH = 13 cm , HF = 13 cm
  • (v)
    FG = 15 cm , GH = 15 cm , HF = 21.21 cm
Question 6
6.
Which of the following are measures of an acute angled triangle ?
  • (i)
    GH = 12 cm , HI = 11 cm , IG = 16.28 cm
  • (ii)
    GH = 11 cm , HI = 11 cm , IG = 15.56 cm
  • (iii)
    GH = 15 cm , HI = 22 cm , IG = 12 cm
  • (iv)
    GH = 12 cm , HI = 22 cm , IG = 12 cm
  • (v)
    GH = 11 cm , HI = 10 cm , IG = 10 cm
Question 7
7.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    PQ = 12 cm , QR = 13 cm , RP = 11 cm
  • (ii)
    PQ = 13 cm , QR = 11 cm , RP = 12 cm
  • (iii)
    PQ = 11 cm , QR = 11 cm , RP = 15.56 cm
  • (iv)
    PQ = 11 cm , QR = 18 cm , RP = 12 cm
  • (v)
    PQ = 12 cm , QR = 15 cm , RP = 19.21 cm
Question 8
8.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠I = 60° , ∠J = 60° , ∠K = 60°
  • (ii)
    ∠I = 45° , ∠J = 90° , ∠K = 45°
  • (iii)
    ∠I = 65.16° , ∠J = 57.42° , ∠K = 57.42°
  • (iv)
    ∠I = 47.49° , ∠J = 90° , ∠K = 42.51°
  • (v)
    ∠I = 52.62° , ∠J = 59.41° , ∠K = 67.97°
Question 9
9.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠C = 59.3° , ∠D = 68.68° , ∠E = 52.02°
  • (ii)
    ∠C = 44.42° , ∠D = 72.62° , ∠E = 62.96°
  • (iii)
    ∠C = 73.74° , ∠D = 53.13° , ∠E = 53.13°
  • (iv)
    ∠C = 40.91° , ∠D = 90° , ∠E = 49.09°
  • (v)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
Question 10
10.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠I = 45° , ∠J = 90° , ∠K = 45°
  • (ii)
    ∠I = 64.53° , ∠J = 75.31° , ∠K = 40.16°
  • (iii)
    ∠I = 73.74° , ∠J = 53.13° , ∠K = 53.13°
  • (iv)
    ∠I = 60° , ∠J = 60° , ∠K = 60°
  • (v)
    ∠I = 66.12° , ∠J = 56.94° , ∠K = 56.94°
Question 11
11.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠N = 47.16° , ∠O = 91.04° , ∠P = 41.8°
  • (ii)
    ∠N = 75.31° , ∠O = 40.16° , ∠P = 64.53°
  • (iii)
    ∠N = 40.24° , ∠O = 90° , ∠P = 49.76°
  • (iv)
    ∠N = 125.43° , ∠O = 28.38° , ∠P = 26.19°
  • (v)
    ∠N = 60° , ∠O = 60° , ∠P = 60°
Question 12
12.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠F = 111.8° , ∠G = 40.54° , ∠H = 27.66°
  • (ii)
    ∠F = 63.03° , ∠G = 43.28° , ∠H = 73.69°
  • (iii)
    ∠F = 46.46° , ∠G = 52.26° , ∠H = 81.28°
  • (iv)
    ∠F = 60° , ∠G = 60° , ∠H = 60°
  • (v)
    ∠F = 45° , ∠G = 90° , ∠H = 45°
Question 13
13.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠N = 53.75° , ∠O = 90° , ∠P = 36.25°
  • (ii)
    ∠N = 64.97° , ∠O = 64.97° , ∠P = 50.06°
  • (iii)
    ∠N = 91.3° , ∠O = 37.66° , ∠P = 51.04°
  • (iv)
    ∠N = 45° , ∠O = 90° , ∠P = 45°
  • (v)
    ∠N = 104.38° , ∠O = 41.51° , ∠P = 34.11°
Question 14
14.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠P = 38.66° , ∠Q = 90° , ∠R = 51.34°
  • (ii)
    ∠P = 100.29° , ∠Q = 43.53° , ∠R = 36.18°
  • (iii)
    ∠P = 50.48° , ∠Q = 79.04° , ∠R = 50.48°
  • (iv)
    ∠P = 45° , ∠Q = 90° , ∠R = 45°
  • (v)
    ∠P = 68.68° , ∠Q = 52.02° , ∠R = 59.3°
Question 15
15.
Which of the following are measures of an equilateral triangle ?
  • (i)
    AB = 14 cm , BC = 11 cm , CA = 17.8 cm
  • (ii)
    AB = 14 cm , BC = 14 cm , CA = 14 cm
  • (iii)
    AB = 15 cm , BC = 12 cm , CA = 15 cm
  • (iv)
    AB = 14 cm , BC = 14 cm , CA = 19.8 cm
  • (v)
    AB = 10 cm , BC = 15 cm , CA = 12 cm
Question 16
16.
Which of the following are measures of an isosceles triangle ?
  • (i)
    BC = 15 cm , CD = 15 cm , DB = 15 cm
  • (ii)
    BC = 15 cm , CD = 10 cm , DB = 15 cm
  • (iii)
    BC = 10 cm , CD = 13 cm , DB = 14 cm
  • (iv)
    BC = 11 cm , CD = 10 cm , DB = 14.87 cm
  • (v)
    BC = 15 cm , CD = 12 cm , DB = 11 cm
Question 17
17.
Which of the following are measures of a scalene triangle ?
  • (i)
    FG = 11 cm , GH = 11 cm , HF = 15.56 cm
  • (ii)
    FG = 10 cm , GH = 13 cm , HF = 10 cm
  • (iii)
    FG = 10 cm , GH = 14 cm , HF = 15 cm
  • (iv)
    FG = 15 cm , GH = 15 cm , HF = 15 cm
  • (v)
    FG = 13 cm , GH = 11 cm , HF = 13 cm
Question 18
18.
Which of the following are measures of a right angled triangle ?
  • (i)
    HI = 12 cm , IJ = 22 cm , JH = 13 cm
  • (ii)
    HI = 11 cm , IJ = 14 cm , JH = 10 cm
  • (iii)
    HI = 11 cm , IJ = 12 cm , JH = 14 cm
  • (iv)
    HI = 10 cm , IJ = 15 cm , JH = 18.03 cm
  • (v)
    HI = 12 cm , IJ = 12 cm , JH = 12 cm
Question 19
19.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    OP = 10 cm , PQ = 11 cm , QO = 13 cm
  • (ii)
    OP = 14 cm , PQ = 13 cm , QO = 11 cm
  • (iii)
    OP = 12 cm , PQ = 12 cm , QO = 12 cm
  • (iv)
    OP = 11 cm , PQ = 19 cm , QO = 14 cm
  • (v)
    OP = 15 cm , PQ = 15 cm , QO = 21.21 cm
Question 20
20.
Which of the following are measures of an acute angled triangle ?
  • (i)
    GH = 12 cm , HI = 19 cm , IG = 11 cm
  • (ii)
    GH = 11 cm , HI = 11 cm , IG = 15.56 cm
  • (iii)
    GH = 11 cm , HI = 13 cm , IG = 12 cm
  • (iv)
    GH = 13 cm , HI = 21 cm , IG = 13 cm
  • (v)
    GH = 13 cm , HI = 11 cm , IG = 17.03 cm
Question 21
21.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    OP = 14 cm , PQ = 13 cm , QO = 10 cm
  • (ii)
    OP = 14 cm , PQ = 26 cm , QO = 15 cm
  • (iii)
    OP = 13 cm , PQ = 13 cm , QO = 18.38 cm
  • (iv)
    OP = 12 cm , PQ = 15 cm , QO = 19.21 cm
  • (v)
    OP = 14 cm , PQ = 15 cm , QO = 11 cm
Question 22
22.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠P = 65.16° , ∠Q = 57.42° , ∠R = 57.42°
  • (ii)
    ∠P = 42.27° , ∠Q = 90° , ∠R = 47.73°
  • (iii)
    ∠P = 51.32° , ∠Q = 83.47° , ∠R = 45.21°
  • (iv)
    ∠P = 60° , ∠Q = 60° , ∠R = 60°
  • (v)
    ∠P = 45° , ∠Q = 90° , ∠R = 45°
Question 23
23.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠D = 70.46° , ∠E = 54.77° , ∠F = 54.77°
  • (ii)
    ∠D = 45.57° , ∠E = 57.56° , ∠F = 76.87°
  • (iii)
    ∠D = 43.03° , ∠E = 90° , ∠F = 46.97°
  • (iv)
    ∠D = 60° , ∠E = 60° , ∠F = 60°
  • (v)
    ∠D = 41.65° , ∠E = 85.46° , ∠F = 52.89°
Question 24
24.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠M = 45° , ∠N = 90° , ∠O = 45°
  • (ii)
    ∠M = 65.6° , ∠N = 57.2° , ∠O = 57.2°
  • (iii)
    ∠M = 60° , ∠N = 60° , ∠O = 60°
  • (iv)
    ∠M = 65.16° , ∠N = 57.42° , ∠O = 57.42°
  • (v)
    ∠M = 83.47° , ∠N = 51.32° , ∠O = 45.21°
Question 25
25.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠K = 47.29° , ∠L = 90° , ∠M = 42.71°
  • (ii)
    ∠K = 110.72° , ∠L = 29.49° , ∠M = 39.79°
  • (iii)
    ∠K = 63.03° , ∠L = 73.69° , ∠M = 43.28°
  • (iv)
    ∠K = 60° , ∠L = 60° , ∠M = 60°
  • (v)
    ∠K = 62.33° , ∠L = 55.33° , ∠M = 62.34°
Question 26
26.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠A = 92.87° , ∠B = 48.51° , ∠C = 38.62°
  • (ii)
    ∠A = 60° , ∠B = 60° , ∠C = 60°
  • (iii)
    ∠A = 45° , ∠B = 90° , ∠C = 45°
  • (iv)
    ∠A = 71.79° , ∠B = 61.26° , ∠C = 46.95°
  • (v)
    ∠A = 72.62° , ∠B = 44.42° , ∠C = 62.96°
Question 27
27.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠J = 45° , ∠K = 90° , ∠L = 45°
  • (ii)
    ∠J = 129.52° , ∠K = 23.95° , ∠L = 26.53°
  • (iii)
    ∠J = 46.97° , ∠K = 90° , ∠L = 43.03°
  • (iv)
    ∠J = 70.81° , ∠K = 61.28° , ∠L = 47.91°
  • (v)
    ∠J = 119.17° , ∠K = 27.36° , ∠L = 33.47°
Question 28
28.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠M = 45° , ∠N = 90° , ∠O = 45°
  • (ii)
    ∠M = 94.34° , ∠N = 42.83° , ∠O = 42.83°
  • (iii)
    ∠M = 37.57° , ∠N = 90° , ∠O = 52.43°
  • (iv)
    ∠M = 45.21° , ∠N = 51.32° , ∠O = 83.47°
  • (v)
    ∠M = 47.01° , ∠N = 47.01° , ∠O = 85.98°
Question 29
29.
Find the measures of the three sides suitable to form a triangle?
  • (i)
    GH = 9 cm , HI = 16 cm , IG = 5 cm
  • (ii)
    GH = 6 cm , HI = 6 cm , IG = 14 cm
  • (iii)
    GH = 7 cm , HI = 11 cm , IG = 20 cm
  • (iv)
    GH = 20 cm , HI = 7 cm , IG = 10 cm
  • (v)
    GH = 12 cm , HI = 13 cm , IG = 13 cm
Question 30
30.
Find the measures of the three angles suitable to form a triangle?
  • (i)
    ∠K = 79.20° , ∠L = 68.10° , ∠M = 95.90°
  • (ii)
    ∠K = 55.33° , ∠L = 62.33° , ∠M = 62.34°
  • (iii)
    ∠K = 44.70° , ∠L = 72.80° , ∠M = 44.90°
  • (iv)
    ∠K = 37.20° , ∠L = 60.20° , ∠M = 82.70°
  • (v)
    ∠K = 52.80° , ∠L = 118.70° , ∠M = 105.10°
    Assignment Key

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