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)
    AB = 10 cm , BC = 14 cm , CA = 10 cm
  • (ii)
    AB = 10 cm , BC = 10 cm , CA = 10 cm
  • (iii)
    AB = 11 cm , BC = 13 cm , CA = 14 cm
  • (iv)
    AB = 11 cm , BC = 11 cm , CA = 15.56 cm
  • (v)
    AB = 13 cm , BC = 12 cm , CA = 17.69 cm
Question 2
2.
Which of the following are measures of an isosceles triangle ?
  • (i)
    MN = 11 cm , NO = 13 cm , OM = 17.03 cm
  • (ii)
    MN = 12 cm , NO = 13 cm , OM = 11 cm
  • (iii)
    MN = 11 cm , NO = 15 cm , OM = 11 cm
  • (iv)
    MN = 15 cm , NO = 15 cm , OM = 15 cm
  • (v)
    MN = 10 cm , NO = 11 cm , OM = 12 cm
Question 3
3.
Which of the following are measures of a scalene triangle ?
  • (i)
    HI = 15 cm , IJ = 12 cm , JH = 15 cm
  • (ii)
    HI = 11 cm , IJ = 10 cm , JH = 12 cm
  • (iii)
    HI = 11 cm , IJ = 12 cm , JH = 11 cm
  • (iv)
    HI = 10 cm , IJ = 10 cm , JH = 14.14 cm
  • (v)
    HI = 10 cm , IJ = 10 cm , JH = 10 cm
Question 4
4.
Which of the following are measures of a right angled triangle ?
  • (i)
    PQ = 10 cm , QR = 17 cm , RP = 13 cm
  • (ii)
    PQ = 13 cm , QR = 15 cm , RP = 11 cm
  • (iii)
    PQ = 11 cm , QR = 13 cm , RP = 10 cm
  • (iv)
    PQ = 15 cm , QR = 10 cm , RP = 18.03 cm
  • (v)
    PQ = 14 cm , QR = 14 cm , RP = 14 cm
Question 5
5.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    CD = 13 cm , DE = 13 cm , EC = 11 cm
  • (ii)
    CD = 11 cm , DE = 14 cm , EC = 13 cm
  • (iii)
    CD = 14 cm , DE = 14 cm , EC = 14 cm
  • (iv)
    CD = 13 cm , DE = 13 cm , EC = 18.38 cm
  • (v)
    CD = 10 cm , DE = 16 cm , EC = 12 cm
Question 6
6.
Which of the following are measures of an acute angled triangle ?
  • (i)
    MN = 13 cm , NO = 25 cm , OM = 15 cm
  • (ii)
    MN = 10 cm , NO = 15 cm , OM = 18.03 cm
  • (iii)
    MN = 12 cm , NO = 12 cm , OM = 16.97 cm
  • (iv)
    MN = 12 cm , NO = 11 cm , OM = 14 cm
  • (v)
    MN = 12 cm , NO = 20 cm , OM = 10 cm
Question 7
7.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    PQ = 13 cm , QR = 22 cm , RP = 11 cm
  • (ii)
    PQ = 12 cm , QR = 11 cm , RP = 16.28 cm
  • (iii)
    PQ = 14 cm , QR = 11 cm , RP = 12 cm
  • (iv)
    PQ = 10 cm , QR = 10 cm , RP = 14.14 cm
  • (v)
    PQ = 10 cm , QR = 12 cm , RP = 11 cm
Question 8
8.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠K = 60° , ∠L = 60° , ∠M = 60°
  • (ii)
    ∠K = 50.19° , ∠L = 90° , ∠M = 39.81°
  • (iii)
    ∠K = 91.04° , ∠L = 47.16° , ∠M = 41.8°
  • (iv)
    ∠K = 72.44° , ∠L = 53.78° , ∠M = 53.78°
  • (v)
    ∠K = 45° , ∠L = 90° , ∠M = 45°
Question 9
9.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠N = 60° , ∠O = 60° , ∠P = 60°
  • (ii)
    ∠N = 72.62° , ∠O = 44.42° , ∠P = 62.96°
  • (iii)
    ∠N = 46.97° , ∠O = 90° , ∠P = 43.03°
  • (iv)
    ∠N = 64.78° , ∠O = 57.61° , ∠P = 57.61°
  • (v)
    ∠N = 67.38° , ∠O = 59.49° , ∠P = 53.13°
Question 10
10.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠F = 71.79° , ∠G = 46.95° , ∠H = 61.26°
  • (ii)
    ∠F = 64.78° , ∠G = 57.61° , ∠H = 57.61°
  • (iii)
    ∠F = 79.04° , ∠G = 50.48° , ∠H = 50.48°
  • (iv)
    ∠F = 60° , ∠G = 60° , ∠H = 60°
  • (v)
    ∠F = 45° , ∠G = 90° , ∠H = 45°
Question 11
11.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠B = 47.49° , ∠C = 90° , ∠D = 42.51°
  • (ii)
    ∠B = 60° , ∠C = 60° , ∠D = 60°
  • (iii)
    ∠B = 83.47° , ∠C = 51.32° , ∠D = 45.21°
  • (iv)
    ∠B = 55.83° , ∠C = 74.85° , ∠D = 49.32°
  • (v)
    ∠B = 133.5° , ∠C = 26.2° , ∠D = 20.3°
Question 12
12.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠N = 106.26° , ∠O = 36.87° , ∠P = 36.87°
  • (ii)
    ∠N = 69.51° , ∠O = 51.32° , ∠P = 59.17°
  • (iii)
    ∠N = 59.3° , ∠O = 52.02° , ∠P = 68.68°
  • (iv)
    ∠N = 45° , ∠O = 90° , ∠P = 45°
  • (v)
    ∠N = 60° , ∠O = 60° , ∠P = 60°
Question 13
13.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠M = 47.01° , ∠N = 85.98° , ∠O = 47.01°
  • (ii)
    ∠M = 95.52° , ∠N = 40.31° , ∠O = 44.17°
  • (iii)
    ∠M = 45° , ∠N = 90° , ∠O = 45°
  • (iv)
    ∠M = 49.09° , ∠N = 90° , ∠O = 40.91°
  • (v)
    ∠M = 108.63° , ∠N = 40.25° , ∠O = 31.12°
Question 14
14.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠P = 40.16° , ∠Q = 64.53° , ∠R = 75.31°
  • (ii)
    ∠P = 45° , ∠Q = 90° , ∠R = 45°
  • (iii)
    ∠P = 71.79° , ∠Q = 46.95° , ∠R = 61.26°
  • (iv)
    ∠P = 92.73° , ∠Q = 45.52° , ∠R = 41.75°
  • (v)
    ∠P = 40.24° , ∠Q = 90° , ∠R = 49.76°
Question 15
15.
Which of the following are measures of an equilateral triangle ?
  • (i)
    NO = 12 cm , OP = 12 cm , PN = 16.97 cm
  • (ii)
    NO = 14 cm , OP = 14 cm , PN = 14 cm
  • (iii)
    NO = 13 cm , OP = 11 cm , PN = 15 cm
  • (iv)
    NO = 13 cm , OP = 10 cm , PN = 13 cm
  • (v)
    NO = 11 cm , OP = 10 cm , PN = 14.87 cm
Question 16
16.
Which of the following are measures of an isosceles triangle ?
  • (i)
    IJ = 12 cm , JK = 13 cm , KI = 15 cm
  • (ii)
    IJ = 14 cm , JK = 13 cm , KI = 10 cm
  • (iii)
    IJ = 10 cm , JK = 13 cm , KI = 16.4 cm
  • (iv)
    IJ = 10 cm , JK = 10 cm , KI = 10 cm
  • (v)
    IJ = 10 cm , JK = 12 cm , KI = 10 cm
Question 17
17.
Which of the following are measures of a scalene triangle ?
  • (i)
    AB = 10 cm , BC = 12 cm , CA = 14 cm
  • (ii)
    AB = 15 cm , BC = 15 cm , CA = 15 cm
  • (iii)
    AB = 11 cm , BC = 15 cm , CA = 11 cm
  • (iv)
    AB = 13 cm , BC = 13 cm , CA = 18.38 cm
  • (v)
    AB = 13 cm , BC = 10 cm , CA = 13 cm
Question 18
18.
Which of the following are measures of a right angled triangle ?
  • (i)
    GH = 11 cm , HI = 13 cm , IG = 10 cm
  • (ii)
    GH = 13 cm , HI = 15 cm , IG = 15 cm
  • (iii)
    GH = 14 cm , HI = 14 cm , IG = 14 cm
  • (iv)
    GH = 10 cm , HI = 23 cm , IG = 15 cm
  • (v)
    GH = 10 cm , HI = 11 cm , IG = 14.87 cm
Question 19
19.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    EF = 11 cm , FG = 15 cm , GE = 12 cm
  • (ii)
    EF = 12 cm , FG = 24 cm , GE = 14 cm
  • (iii)
    EF = 15 cm , FG = 15 cm , GE = 15 cm
  • (iv)
    EF = 13 cm , FG = 11 cm , GE = 15 cm
  • (v)
    EF = 11 cm , FG = 11 cm , GE = 15.56 cm
Question 20
20.
Which of the following are measures of an acute angled triangle ?
  • (i)
    MN = 10 cm , NO = 10 cm , OM = 14.14 cm
  • (ii)
    MN = 10 cm , NO = 11 cm , OM = 11 cm
  • (iii)
    MN = 12 cm , NO = 13 cm , OM = 17.69 cm
  • (iv)
    MN = 15 cm , NO = 25 cm , OM = 13 cm
  • (v)
    MN = 10 cm , NO = 18 cm , OM = 11 cm
Question 21
21.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    PQ = 15 cm , QR = 11 cm , RP = 13 cm
  • (ii)
    PQ = 11 cm , QR = 19 cm , RP = 13 cm
  • (iii)
    PQ = 15 cm , QR = 13 cm , RP = 12 cm
  • (iv)
    PQ = 10 cm , QR = 10 cm , RP = 14.14 cm
  • (v)
    PQ = 11 cm , QR = 15 cm , RP = 18.6 cm
Question 22
22.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠A = 46.46° , ∠B = 52.26° , ∠C = 81.28°
  • (ii)
    ∠A = 97.18° , ∠B = 41.41° , ∠C = 41.41°
  • (iii)
    ∠A = 45° , ∠B = 90° , ∠C = 45°
  • (iv)
    ∠A = 60° , ∠B = 60° , ∠C = 60°
  • (v)
    ∠A = 49.76° , ∠B = 90° , ∠C = 40.24°
Question 23
23.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠N = 91.04° , ∠O = 41.8° , ∠P = 47.16°
  • (ii)
    ∠N = 52.62° , ∠O = 59.41° , ∠P = 67.97°
  • (iii)
    ∠N = 47.73° , ∠O = 90° , ∠P = 42.27°
  • (iv)
    ∠N = 60° , ∠O = 60° , ∠P = 60°
  • (v)
    ∠N = 85.98° , ∠O = 47.01° , ∠P = 47.01°
Question 24
24.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠N = 85.98° , ∠O = 47.01° , ∠P = 47.01°
  • (ii)
    ∠N = 45.24° , ∠O = 67.38° , ∠P = 67.38°
  • (iii)
    ∠N = 52.62° , ∠O = 67.97° , ∠P = 59.41°
  • (iv)
    ∠N = 60° , ∠O = 60° , ∠P = 60°
  • (v)
    ∠N = 45° , ∠O = 90° , ∠P = 45°
Question 25
25.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠B = 131.42° , ∠C = 27.66° , ∠D = 20.92°
  • (ii)
    ∠B = 60° , ∠C = 60° , ∠D = 60°
  • (iii)
    ∠B = 73.69° , ∠C = 63.03° , ∠D = 43.28°
  • (iv)
    ∠B = 42.88° , ∠C = 90° , ∠D = 47.12°
  • (v)
    ∠B = 74.85° , ∠C = 49.32° , ∠D = 55.83°
Question 26
26.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠F = 60° , ∠G = 60° , ∠H = 60°
  • (ii)
    ∠F = 45° , ∠G = 90° , ∠H = 45°
  • (iii)
    ∠F = 102.21° , ∠G = 44.9° , ∠H = 32.89°
  • (iv)
    ∠F = 71.38° , ∠G = 54.31° , ∠H = 54.31°
  • (v)
    ∠F = 76.87° , ∠G = 45.57° , ∠H = 57.56°
Question 27
27.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠C = 135.33° , ∠D = 19.72° , ∠E = 24.95°
  • (ii)
    ∠C = 76.87° , ∠D = 45.57° , ∠E = 57.56°
  • (iii)
    ∠C = 45° , ∠D = 90° , ∠E = 45°
  • (iv)
    ∠C = 42.71° , ∠D = 90° , ∠E = 47.29°
  • (v)
    ∠C = 112.62° , ∠D = 30.51° , ∠E = 36.87°
Question 28
28.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠J = 45° , ∠K = 90° , ∠L = 45°
  • (ii)
    ∠J = 121.87° , ∠K = 26.41° , ∠L = 31.72°
  • (iii)
    ∠J = 43.03° , ∠K = 90° , ∠L = 46.97°
  • (iv)
    ∠J = 70.53° , ∠K = 70.53° , ∠L = 38.94°
  • (v)
    ∠J = 66.42° , ∠K = 66.42° , ∠L = 47.16°
Question 29
29.
Find the measures of the three sides suitable to form a triangle?
  • (i)
    LM = 7 cm , MN = 16 cm , NL = 7 cm
  • (ii)
    LM = 19 cm , MN = 7 cm , NL = 5 cm
  • (iii)
    LM = 14 cm , MN = 13 cm , NL = 15 cm
  • (iv)
    LM = 8 cm , MN = 18 cm , NL = 8 cm
  • (v)
    LM = 9 cm , MN = 20 cm , NL = 6 cm
Question 30
30.
Find the measures of the three angles suitable to form a triangle?
  • (i)
    ∠N = 115.20° , ∠O = 75.80° , ∠P = 84.90°
  • (ii)
    ∠N = 41.65° , ∠O = 85.46° , ∠P = 52.89°
  • (iii)
    ∠N = 65.80° , ∠O = 85.20° , ∠P = 46.20°
  • (iv)
    ∠N = 112.50° , ∠O = 116.80° , ∠P = 120.90°
  • (v)
    ∠N = 32.20° , ∠O = 111.80° , ∠P = 78.10°
    Assignment Key

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