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)
    GH = 13 cm , HI = 13 cm , IG = 18.38 cm
  • (ii)
    GH = 11 cm , HI = 13 cm , IG = 17.03 cm
  • (iii)
    GH = 12 cm , HI = 14 cm , IG = 10 cm
  • (iv)
    GH = 15 cm , HI = 10 cm , IG = 15 cm
  • (v)
    GH = 11 cm , HI = 11 cm , IG = 11 cm
Question 2
2.
Which of the following are measures of an isosceles triangle ?
  • (i)
    BC = 14 cm , CD = 10 cm , DB = 17.2 cm
  • (ii)
    BC = 13 cm , CD = 12 cm , DB = 11 cm
  • (iii)
    BC = 14 cm , CD = 14 cm , DB = 14 cm
  • (iv)
    BC = 12 cm , CD = 11 cm , DB = 12 cm
  • (v)
    BC = 13 cm , CD = 12 cm , DB = 15 cm
Question 3
3.
Which of the following are measures of a scalene triangle ?
  • (i)
    LM = 15 cm , MN = 12 cm , NL = 10 cm
  • (ii)
    LM = 15 cm , MN = 10 cm , NL = 15 cm
  • (iii)
    LM = 13 cm , MN = 13 cm , NL = 13 cm
  • (iv)
    LM = 14 cm , MN = 15 cm , NL = 14 cm
  • (v)
    LM = 12 cm , MN = 12 cm , NL = 16.97 cm
Question 4
4.
Which of the following are measures of a right angled triangle ?
  • (i)
    AB = 11 cm , BC = 19 cm , CA = 10 cm
  • (ii)
    AB = 14 cm , BC = 15 cm , CA = 10 cm
  • (iii)
    AB = 12 cm , BC = 13 cm , CA = 14 cm
  • (iv)
    AB = 14 cm , BC = 12 cm , CA = 18.44 cm
  • (v)
    AB = 15 cm , BC = 15 cm , CA = 15 cm
Question 5
5.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    FG = 12 cm , GH = 12 cm , HF = 12 cm
  • (ii)
    FG = 15 cm , GH = 15 cm , HF = 14 cm
  • (iii)
    FG = 12 cm , GH = 19 cm , HF = 12 cm
  • (iv)
    FG = 14 cm , GH = 14 cm , HF = 19.8 cm
  • (v)
    FG = 12 cm , GH = 10 cm , HF = 13 cm
Question 6
6.
Which of the following are measures of an acute angled triangle ?
  • (i)
    IJ = 13 cm , JK = 13 cm , KI = 14 cm
  • (ii)
    IJ = 15 cm , JK = 20 cm , KI = 12 cm
  • (iii)
    IJ = 15 cm , JK = 13 cm , KI = 19.85 cm
  • (iv)
    IJ = 12 cm , JK = 12 cm , KI = 16.97 cm
  • (v)
    IJ = 11 cm , JK = 17 cm , KI = 11 cm
Question 7
7.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    CD = 14 cm , DE = 11 cm , EC = 13 cm
  • (ii)
    CD = 12 cm , DE = 10 cm , EC = 15.62 cm
  • (iii)
    CD = 14 cm , DE = 20 cm , EC = 12 cm
  • (iv)
    CD = 11 cm , DE = 11 cm , EC = 15.56 cm
  • (v)
    CD = 12 cm , DE = 14 cm , EC = 10 cm
Question 8
8.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠B = 42.51° , ∠C = 90° , ∠D = 47.49°
  • (ii)
    ∠B = 60° , ∠C = 60° , ∠D = 60°
  • (iii)
    ∠B = 47.16° , ∠C = 66.42° , ∠D = 66.42°
  • (iv)
    ∠B = 46.95° , ∠C = 61.26° , ∠D = 71.79°
  • (v)
    ∠B = 45° , ∠C = 90° , ∠D = 45°
Question 9
9.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠N = 76.87° , ∠O = 45.57° , ∠P = 57.56°
  • (ii)
    ∠N = 60° , ∠O = 60° , ∠P = 60°
  • (iii)
    ∠N = 33.69° , ∠O = 90° , ∠P = 56.31°
  • (iv)
    ∠N = 51.32° , ∠O = 69.51° , ∠P = 59.17°
  • (v)
    ∠N = 66.74° , ∠O = 56.63° , ∠P = 56.63°
Question 10
10.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠B = 45° , ∠C = 90° , ∠D = 45°
  • (ii)
    ∠B = 64.78° , ∠C = 57.61° , ∠D = 57.61°
  • (iii)
    ∠B = 60° , ∠C = 60° , ∠D = 60°
  • (iv)
    ∠B = 85.98° , ∠C = 47.01° , ∠D = 47.01°
  • (v)
    ∠B = 48.37° , ∠C = 76.33° , ∠D = 55.3°
Question 11
11.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠H = 49.76° , ∠I = 90° , ∠J = 40.24°
  • (ii)
    ∠H = 80.25° , ∠I = 58.67° , ∠J = 41.08°
  • (iii)
    ∠H = 60° , ∠I = 60° , ∠J = 60°
  • (iv)
    ∠H = 132.17° , ∠I = 28.14° , ∠J = 19.69°
  • (v)
    ∠H = 61.28° , ∠I = 69.98° , ∠J = 48.74°
Question 12
12.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠D = 60° , ∠E = 60° , ∠F = 60°
  • (ii)
    ∠D = 45° , ∠E = 90° , ∠F = 45°
  • (iii)
    ∠D = 67.38° , ∠E = 53.13° , ∠F = 59.49°
  • (iv)
    ∠D = 133.81° , ∠E = 22.12° , ∠F = 24.07°
  • (v)
    ∠D = 75.31° , ∠E = 40.16° , ∠F = 64.53°
Question 13
13.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠P = 121.87° , ∠Q = 31.72° , ∠R = 26.41°
  • (ii)
    ∠P = 114.22° , ∠Q = 34.37° , ∠R = 31.41°
  • (iii)
    ∠P = 38.66° , ∠Q = 90° , ∠R = 51.34°
  • (iv)
    ∠P = 47.01° , ∠Q = 85.98° , ∠R = 47.01°
  • (v)
    ∠P = 45° , ∠Q = 90° , ∠R = 45°
Question 14
14.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠P = 132.72° , ∠Q = 25.73° , ∠R = 21.55°
  • (ii)
    ∠P = 66.87° , ∠Q = 46.26° , ∠R = 66.87°
  • (iii)
    ∠P = 55.83° , ∠Q = 49.32° , ∠R = 74.85°
  • (iv)
    ∠P = 46.97° , ∠Q = 90° , ∠R = 43.03°
  • (v)
    ∠P = 45° , ∠Q = 90° , ∠R = 45°
Question 15
15.
Which of the following are measures of an equilateral triangle ?
  • (i)
    BC = 13 cm , CD = 15 cm , DB = 13 cm
  • (ii)
    BC = 11 cm , CD = 11 cm , DB = 15.56 cm
  • (iii)
    BC = 13 cm , CD = 11 cm , DB = 12 cm
  • (iv)
    BC = 13 cm , CD = 15 cm , DB = 19.85 cm
  • (v)
    BC = 15 cm , CD = 15 cm , DB = 15 cm
Question 16
16.
Which of the following are measures of an isosceles triangle ?
  • (i)
    KL = 11 cm , LM = 13 cm , MK = 11 cm
  • (ii)
    KL = 11 cm , LM = 11 cm , MK = 11 cm
  • (iii)
    KL = 15 cm , LM = 12 cm , MK = 10 cm
  • (iv)
    KL = 11 cm , LM = 14 cm , MK = 17.8 cm
  • (v)
    KL = 14 cm , LM = 15 cm , MK = 13 cm
Question 17
17.
Which of the following are measures of a scalene triangle ?
  • (i)
    NO = 15 cm , OP = 10 cm , PN = 15 cm
  • (ii)
    NO = 12 cm , OP = 12 cm , PN = 16.97 cm
  • (iii)
    NO = 14 cm , OP = 11 cm , PN = 14 cm
  • (iv)
    NO = 13 cm , OP = 13 cm , PN = 13 cm
  • (v)
    NO = 11 cm , OP = 14 cm , PN = 10 cm
Question 18
18.
Which of the following are measures of a right angled triangle ?
  • (i)
    LM = 13 cm , MN = 12 cm , NL = 17.69 cm
  • (ii)
    LM = 14 cm , MN = 23 cm , NL = 13 cm
  • (iii)
    LM = 10 cm , MN = 12 cm , NL = 12 cm
  • (iv)
    LM = 11 cm , MN = 11 cm , NL = 11 cm
  • (v)
    LM = 13 cm , MN = 14 cm , NL = 15 cm
Question 19
19.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    HI = 12 cm , IJ = 12 cm , JH = 16.97 cm
  • (ii)
    HI = 10 cm , IJ = 10 cm , JH = 10 cm
  • (iii)
    HI = 11 cm , IJ = 14 cm , JH = 12 cm
  • (iv)
    HI = 10 cm , IJ = 16 cm , JH = 10 cm
  • (v)
    HI = 11 cm , IJ = 12 cm , JH = 10 cm
Question 20
20.
Which of the following are measures of an acute angled triangle ?
  • (i)
    BC = 14 cm , CD = 23 cm , DB = 13 cm
  • (ii)
    BC = 15 cm , CD = 13 cm , DB = 13 cm
  • (iii)
    BC = 15 cm , CD = 21 cm , DB = 11 cm
  • (iv)
    BC = 12 cm , CD = 12 cm , DB = 16.97 cm
  • (v)
    BC = 10 cm , CD = 11 cm , DB = 14.87 cm
Question 21
21.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    JK = 10 cm , KL = 12 cm , LJ = 15.62 cm
  • (ii)
    JK = 13 cm , KL = 19 cm , LJ = 11 cm
  • (iii)
    JK = 10 cm , KL = 14 cm , LJ = 11 cm
  • (iv)
    JK = 11 cm , KL = 11 cm , LJ = 13 cm
  • (v)
    JK = 12 cm , KL = 12 cm , LJ = 16.97 cm
Question 22
22.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠O = 50.19° , ∠P = 90° , ∠Q = 39.81°
  • (ii)
    ∠O = 45° , ∠P = 90° , ∠Q = 45°
  • (iii)
    ∠O = 60° , ∠P = 60° , ∠Q = 60°
  • (iv)
    ∠O = 58.67° , ∠P = 80.25° , ∠Q = 41.08°
  • (v)
    ∠O = 45.24° , ∠P = 67.38° , ∠Q = 67.38°
Question 23
23.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠D = 42.51° , ∠E = 90° , ∠F = 47.49°
  • (ii)
    ∠D = 76.87° , ∠E = 45.57° , ∠F = 57.56°
  • (iii)
    ∠D = 71.79° , ∠E = 46.95° , ∠F = 61.26°
  • (iv)
    ∠D = 65.16° , ∠E = 57.42° , ∠F = 57.42°
  • (v)
    ∠D = 60° , ∠E = 60° , ∠F = 60°
Question 24
24.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠G = 60° , ∠H = 60° , ∠I = 60°
  • (ii)
    ∠G = 67.38° , ∠H = 53.13° , ∠I = 59.49°
  • (iii)
    ∠G = 70.46° , ∠H = 54.77° , ∠I = 54.77°
  • (iv)
    ∠G = 45° , ∠H = 90° , ∠I = 45°
  • (v)
    ∠G = 71.38° , ∠H = 54.31° , ∠I = 54.31°
Question 25
25.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠C = 38.16° , ∠D = 90° , ∠E = 51.84°
  • (ii)
    ∠C = 78.46° , ∠D = 44.42° , ∠E = 57.12°
  • (iii)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
  • (iv)
    ∠C = 49.32° , ∠D = 55.83° , ∠E = 74.85°
  • (v)
    ∠C = 128.32° , ∠D = 25.84° , ∠E = 25.84°
Question 26
26.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠D = 63.03° , ∠E = 73.69° , ∠F = 43.28°
  • (ii)
    ∠D = 134.62° , ∠E = 20.85° , ∠F = 24.53°
  • (iii)
    ∠D = 45° , ∠E = 90° , ∠F = 45°
  • (iv)
    ∠D = 60° , ∠E = 60° , ∠F = 60°
  • (v)
    ∠D = 74.85° , ∠E = 55.83° , ∠F = 49.32°
Question 27
27.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠B = 135.59° , ∠C = 21.34° , ∠D = 23.07°
  • (ii)
    ∠B = 112.75° , ∠C = 26.05° , ∠D = 41.2°
  • (iii)
    ∠B = 45° , ∠C = 90° , ∠D = 45°
  • (iv)
    ∠B = 64.97° , ∠C = 50.06° , ∠D = 64.97°
  • (v)
    ∠B = 49.76° , ∠C = 90° , ∠D = 40.24°
Question 28
28.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠D = 126.32° , ∠E = 24.77° , ∠F = 28.91°
  • (ii)
    ∠D = 81.08° , ∠E = 49.46° , ∠F = 49.46°
  • (iii)
    ∠D = 45° , ∠E = 90° , ∠F = 45°
  • (iv)
    ∠D = 75.31° , ∠E = 64.53° , ∠F = 40.16°
  • (v)
    ∠D = 40.6° , ∠E = 90° , ∠F = 49.4°
Question 29
29.
Find the measures of the three sides suitable to form a triangle?
  • (i)
    KL = 14 cm , LM = 13 cm , MK = 14 cm
  • (ii)
    KL = 20 cm , LM = 6 cm , MK = 13 cm
  • (iii)
    KL = 5 cm , LM = 5 cm , MK = 18 cm
  • (iv)
    KL = 5 cm , LM = 18 cm , MK = 11 cm
  • (v)
    KL = 6 cm , LM = 20 cm , MK = 6 cm
Question 30
30.
Find the measures of the three angles suitable to form a triangle?
  • (i)
    ∠A = 117.50° , ∠B = 39.70° , ∠C = 44.80°
  • (ii)
    ∠A = 60.90° , ∠B = 115.20° , ∠C = 90.80°
  • (iii)
    ∠A = 62.18° , ∠B = 55.64° , ∠C = 62.18°
  • (iv)
    ∠A = 34.10° , ∠B = 43.30° , ∠C = 48.80°
  • (v)
    ∠A = 69.90° , ∠B = 34.90° , ∠C = 119.90°
    Assignment Key

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