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)
    HI = 11 cm , IJ = 11 cm , JH = 11 cm
  • (ii)
    HI = 12 cm , IJ = 15 cm , JH = 11 cm
  • (iii)
    HI = 13 cm , IJ = 12 cm , JH = 17.69 cm
  • (iv)
    HI = 11 cm , IJ = 11 cm , JH = 15.56 cm
  • (v)
    HI = 11 cm , IJ = 12 cm , JH = 11 cm
Question 2
2.
Which of the following are measures of an isosceles triangle ?
  • (i)
    CD = 12 cm , DE = 11 cm , EC = 15 cm
  • (ii)
    CD = 12 cm , DE = 14 cm , EC = 18.44 cm
  • (iii)
    CD = 14 cm , DE = 12 cm , EC = 13 cm
  • (iv)
    CD = 15 cm , DE = 15 cm , EC = 15 cm
  • (v)
    CD = 11 cm , DE = 14 cm , EC = 11 cm
Question 3
3.
Which of the following are measures of a scalene triangle ?
  • (i)
    OP = 13 cm , PQ = 13 cm , QO = 13 cm
  • (ii)
    OP = 15 cm , PQ = 10 cm , QO = 14 cm
  • (iii)
    OP = 15 cm , PQ = 10 cm , QO = 15 cm
  • (iv)
    OP = 12 cm , PQ = 14 cm , QO = 12 cm
  • (v)
    OP = 11 cm , PQ = 11 cm , QO = 15.56 cm
Question 4
4.
Which of the following are measures of a right angled triangle ?
  • (i)
    JK = 10 cm , KL = 12 cm , LJ = 11 cm
  • (ii)
    JK = 10 cm , KL = 12 cm , LJ = 15.62 cm
  • (iii)
    JK = 13 cm , KL = 14 cm , LJ = 13 cm
  • (iv)
    JK = 11 cm , KL = 20 cm , LJ = 13 cm
  • (v)
    JK = 14 cm , KL = 14 cm , LJ = 14 cm
Question 5
5.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    MN = 15 cm , NO = 15 cm , OM = 15 cm
  • (ii)
    MN = 15 cm , NO = 15 cm , OM = 21.21 cm
  • (iii)
    MN = 12 cm , NO = 10 cm , OM = 13 cm
  • (iv)
    MN = 14 cm , NO = 12 cm , OM = 14 cm
  • (v)
    MN = 10 cm , NO = 19 cm , OM = 13 cm
Question 6
6.
Which of the following are measures of an acute angled triangle ?
  • (i)
    FG = 11 cm , GH = 14 cm , HF = 12 cm
  • (ii)
    FG = 11 cm , GH = 12 cm , HF = 16.28 cm
  • (iii)
    FG = 11 cm , GH = 18 cm , HF = 11 cm
  • (iv)
    FG = 12 cm , GH = 16 cm , HF = 10 cm
  • (v)
    FG = 13 cm , GH = 13 cm , HF = 18.38 cm
Question 7
7.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    KL = 11 cm , LM = 14 cm , MK = 12 cm
  • (ii)
    KL = 15 cm , LM = 14 cm , MK = 14 cm
  • (iii)
    KL = 10 cm , LM = 10 cm , MK = 14.14 cm
  • (iv)
    KL = 14 cm , LM = 25 cm , MK = 15 cm
  • (v)
    KL = 13 cm , LM = 14 cm , MK = 19.1 cm
Question 8
8.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠C = 68.68° , ∠D = 59.3° , ∠E = 52.02°
  • (ii)
    ∠C = 45° , ∠D = 90° , ∠E = 45°
  • (iii)
    ∠C = 40.6° , ∠D = 90° , ∠E = 49.4°
  • (iv)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
  • (v)
    ∠C = 50.06° , ∠D = 64.97° , ∠E = 64.97°
Question 9
9.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠F = 36.25° , ∠G = 90° , ∠H = 53.75°
  • (ii)
    ∠F = 50.13° , ∠G = 56.25° , ∠H = 73.62°
  • (iii)
    ∠F = 47.16° , ∠G = 66.42° , ∠H = 66.42°
  • (iv)
    ∠F = 47.16° , ∠G = 91.04° , ∠H = 41.8°
  • (v)
    ∠F = 60° , ∠G = 60° , ∠H = 60°
Question 10
10.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠J = 45° , ∠K = 90° , ∠L = 45°
  • (ii)
    ∠J = 44.42° , ∠K = 62.96° , ∠L = 72.62°
  • (iii)
    ∠J = 50.06° , ∠K = 64.97° , ∠L = 64.97°
  • (iv)
    ∠J = 73.74° , ∠K = 53.13° , ∠L = 53.13°
  • (v)
    ∠J = 60° , ∠K = 60° , ∠L = 60°
Question 11
11.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠A = 73.62° , ∠B = 56.25° , ∠C = 50.13°
  • (ii)
    ∠A = 53.13° , ∠B = 53.13° , ∠C = 73.74°
  • (iii)
    ∠A = 115.37° , ∠B = 29.53° , ∠C = 35.1°
  • (iv)
    ∠A = 39.81° , ∠B = 90° , ∠C = 50.19°
  • (v)
    ∠A = 60° , ∠B = 60° , ∠C = 60°
Question 12
12.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠M = 94.34° , ∠N = 42.83° , ∠O = 42.83°
  • (ii)
    ∠M = 72.62° , ∠N = 44.42° , ∠O = 62.96°
  • (iii)
    ∠M = 68.49° , ∠N = 68.49° , ∠O = 43.02°
  • (iv)
    ∠M = 45° , ∠N = 90° , ∠O = 45°
  • (v)
    ∠M = 60° , ∠N = 60° , ∠O = 60°
Question 13
13.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠I = 130.76° , ∠J = 24.62° , ∠K = 24.62°
  • (ii)
    ∠I = 53.75° , ∠J = 90° , ∠K = 36.25°
  • (iii)
    ∠I = 91.04° , ∠J = 47.16° , ∠K = 41.8°
  • (iv)
    ∠I = 48.74° , ∠J = 61.28° , ∠K = 69.98°
  • (v)
    ∠I = 45° , ∠J = 90° , ∠K = 45°
Question 14
14.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠I = 69.98° , ∠J = 61.28° , ∠K = 48.74°
  • (ii)
    ∠I = 108° , ∠J = 37.98° , ∠K = 34.02°
  • (iii)
    ∠I = 52.43° , ∠J = 90° , ∠K = 37.57°
  • (iv)
    ∠I = 51.32° , ∠J = 51.32° , ∠K = 77.36°
  • (v)
    ∠I = 45° , ∠J = 90° , ∠K = 45°
Question 15
15.
Which of the following are measures of an equilateral triangle ?
  • (i)
    DE = 11 cm , EF = 11 cm , FD = 11 cm
  • (ii)
    DE = 14 cm , EF = 10 cm , FD = 17.2 cm
  • (iii)
    DE = 10 cm , EF = 15 cm , FD = 10 cm
  • (iv)
    DE = 13 cm , EF = 13 cm , FD = 18.38 cm
  • (v)
    DE = 13 cm , EF = 15 cm , FD = 14 cm
Question 16
16.
Which of the following are measures of an isosceles triangle ?
  • (i)
    NO = 14 cm , OP = 13 cm , PN = 19.1 cm
  • (ii)
    NO = 14 cm , OP = 10 cm , PN = 15 cm
  • (iii)
    NO = 15 cm , OP = 10 cm , PN = 11 cm
  • (iv)
    NO = 15 cm , OP = 12 cm , PN = 15 cm
  • (v)
    NO = 10 cm , OP = 10 cm , PN = 10 cm
Question 17
17.
Which of the following are measures of a scalene triangle ?
  • (i)
    LM = 15 cm , MN = 15 cm , NL = 15 cm
  • (ii)
    LM = 13 cm , MN = 12 cm , NL = 11 cm
  • (iii)
    LM = 14 cm , MN = 14 cm , NL = 19.8 cm
  • (iv)
    LM = 14 cm , MN = 15 cm , NL = 14 cm
  • (v)
    LM = 13 cm , MN = 11 cm , NL = 13 cm
Question 18
18.
Which of the following are measures of a right angled triangle ?
  • (i)
    MN = 12 cm , NO = 11 cm , OM = 16.28 cm
  • (ii)
    MN = 11 cm , NO = 11 cm , OM = 11 cm
  • (iii)
    MN = 14 cm , NO = 13 cm , OM = 15 cm
  • (iv)
    MN = 10 cm , NO = 13 cm , OM = 15 cm
  • (v)
    MN = 12 cm , NO = 18 cm , OM = 11 cm
Question 19
19.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    LM = 14 cm , MN = 14 cm , NL = 14 cm
  • (ii)
    LM = 10 cm , MN = 12 cm , NL = 13 cm
  • (iii)
    LM = 13 cm , MN = 15 cm , NL = 12 cm
  • (iv)
    LM = 14 cm , MN = 21 cm , NL = 11 cm
  • (v)
    LM = 14 cm , MN = 14 cm , NL = 19.8 cm
Question 20
20.
Which of the following are measures of an acute angled triangle ?
  • (i)
    IJ = 11 cm , JK = 15 cm , KI = 15 cm
  • (ii)
    IJ = 13 cm , JK = 13 cm , KI = 18.38 cm
  • (iii)
    IJ = 11 cm , JK = 12 cm , KI = 16.28 cm
  • (iv)
    IJ = 10 cm , JK = 21 cm , KI = 14 cm
  • (v)
    IJ = 12 cm , JK = 22 cm , KI = 15 cm
Question 21
21.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    DE = 11 cm , EF = 13 cm , FD = 17.03 cm
  • (ii)
    DE = 10 cm , EF = 10 cm , FD = 14.14 cm
  • (iii)
    DE = 13 cm , EF = 11 cm , FD = 14 cm
  • (iv)
    DE = 15 cm , EF = 11 cm , FD = 12 cm
  • (v)
    DE = 15 cm , EF = 20 cm , FD = 11 cm
Question 22
22.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠J = 66.12° , ∠K = 56.94° , ∠L = 56.94°
  • (ii)
    ∠J = 60° , ∠K = 60° , ∠L = 60°
  • (iii)
    ∠J = 49.4° , ∠K = 90° , ∠L = 40.6°
  • (iv)
    ∠J = 52.89° , ∠K = 85.46° , ∠L = 41.65°
  • (v)
    ∠J = 45° , ∠K = 90° , ∠L = 45°
Question 23
23.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠C = 70.81° , ∠D = 61.28° , ∠E = 47.91°
  • (ii)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
  • (iii)
    ∠C = 51.84° , ∠D = 90° , ∠E = 38.16°
  • (iv)
    ∠C = 72.44° , ∠D = 53.78° , ∠E = 53.78°
  • (v)
    ∠C = 47.16° , ∠D = 41.8° , ∠E = 91.04°
Question 24
24.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠F = 66.74° , ∠G = 56.63° , ∠H = 56.63°
  • (ii)
    ∠F = 60° , ∠G = 60° , ∠H = 60°
  • (iii)
    ∠F = 97.18° , ∠G = 41.41° , ∠H = 41.41°
  • (iv)
    ∠F = 45° , ∠G = 90° , ∠H = 45°
  • (v)
    ∠F = 41.65° , ∠G = 52.89° , ∠H = 85.46°
Question 25
25.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠A = 100.29° , ∠B = 43.53° , ∠C = 36.18°
  • (ii)
    ∠A = 71.38° , ∠B = 54.31° , ∠C = 54.31°
  • (iii)
    ∠A = 60° , ∠B = 60° , ∠C = 60°
  • (iv)
    ∠A = 55.83° , ∠B = 49.32° , ∠C = 74.85°
  • (v)
    ∠A = 40.6° , ∠B = 90° , ∠C = 49.4°
Question 26
26.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠L = 45° , ∠M = 90° , ∠N = 45°
  • (ii)
    ∠L = 60° , ∠M = 60° , ∠N = 60°
  • (iii)
    ∠L = 57.2° , ∠M = 65.6° , ∠N = 57.2°
  • (iv)
    ∠L = 52.26° , ∠M = 81.28° , ∠N = 46.46°
  • (v)
    ∠L = 102.05° , ∠M = 37.26° , ∠N = 40.69°
Question 27
27.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠B = 45° , ∠C = 90° , ∠D = 45°
  • (ii)
    ∠B = 42.71° , ∠C = 90° , ∠D = 47.29°
  • (iii)
    ∠B = 57.42° , ∠C = 57.42° , ∠D = 65.16°
  • (iv)
    ∠B = 102.05° , ∠C = 37.26° , ∠D = 40.69°
  • (v)
    ∠B = 122.01° , ∠C = 22.67° , ∠D = 35.32°
Question 28
28.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠P = 59.17° , ∠Q = 51.32° , ∠R = 69.51°
  • (ii)
    ∠P = 52.43° , ∠Q = 90° , ∠R = 37.57°
  • (iii)
    ∠P = 54.31° , ∠Q = 54.31° , ∠R = 71.38°
  • (iv)
    ∠P = 45° , ∠Q = 90° , ∠R = 45°
  • (v)
    ∠P = 130.54° , ∠Q = 22.33° , ∠R = 27.13°
Question 29
29.
Find the measures of the three sides suitable to form a triangle?
  • (i)
    FG = 6 cm , GH = 5 cm , HF = 20 cm
  • (ii)
    FG = 7 cm , GH = 5 cm , HF = 20 cm
  • (iii)
    FG = 19 cm , GH = 8 cm , HF = 6 cm
  • (iv)
    FG = 8 cm , GH = 17 cm , HF = 7 cm
  • (v)
    FG = 15 cm , GH = 12 cm , HF = 15 cm
Question 30
30.
Find the measures of the three angles suitable to form a triangle?
  • (i)
    ∠I = 62.18° , ∠J = 55.64° , ∠K = 62.18°
  • (ii)
    ∠I = 50.70° , ∠J = 35.90° , ∠K = 55.20°
  • (iii)
    ∠I = 106.50° , ∠J = 45.60° , ∠K = 90.80°
  • (iv)
    ∠I = 47.80° , ∠J = 32.30° , ∠K = 111.60°
  • (v)
    ∠I = 49.80° , ∠J = 39.40° , ∠K = 77.50°
    Assignment Key

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