EduSahara™ Assignment
Name : Types of Triangles
Chapter : Triangles
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
Which of the following are measures of an equilateral triangle ?
  • (i)
    EF = 10 cm , FG = 10 cm , GE = 14.14 cm
  • (ii)
    EF = 10 cm , FG = 13 cm , GE = 10 cm
  • (iii)
    EF = 12 cm , FG = 12 cm , GE = 12 cm
  • (iv)
    EF = 14 cm , FG = 13 cm , GE = 10 cm
  • (v)
    EF = 14 cm , FG = 11 cm , GE = 17.8 cm
Question 2
2.
Which of the following are measures of an isosceles triangle ?
  • (i)
    LM = 11 cm , MN = 12 cm , NL = 11 cm
  • (ii)
    LM = 15 cm , MN = 15 cm , NL = 15 cm
  • (iii)
    LM = 14 cm , MN = 13 cm , NL = 19.1 cm
  • (iv)
    LM = 12 cm , MN = 14 cm , NL = 11 cm
  • (v)
    LM = 15 cm , MN = 12 cm , NL = 11 cm
Question 3
3.
Which of the following are measures of a scalene triangle ?
  • (i)
    LM = 14 cm , MN = 14 cm , NL = 19.8 cm
  • (ii)
    LM = 14 cm , MN = 14 cm , NL = 14 cm
  • (iii)
    LM = 11 cm , MN = 12 cm , NL = 13 cm
  • (iv)
    LM = 15 cm , MN = 12 cm , NL = 15 cm
  • (v)
    LM = 13 cm , MN = 10 cm , NL = 13 cm
Question 4
4.
Which of the following are measures of a right angled triangle ?
  • (i)
    PQ = 15 cm , QR = 11 cm , RP = 18.6 cm
  • (ii)
    PQ = 13 cm , QR = 13 cm , RP = 13 cm
  • (iii)
    PQ = 12 cm , QR = 13 cm , RP = 13 cm
  • (iv)
    PQ = 11 cm , QR = 19 cm , RP = 13 cm
  • (v)
    PQ = 12 cm , QR = 13 cm , RP = 11 cm
Question 5
5.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    FG = 12 cm , GH = 12 cm , HF = 16.97 cm
  • (ii)
    FG = 12 cm , GH = 15 cm , HF = 13 cm
  • (iii)
    FG = 14 cm , GH = 24 cm , HF = 13 cm
  • (iv)
    FG = 14 cm , GH = 15 cm , HF = 11 cm
  • (v)
    FG = 11 cm , GH = 11 cm , HF = 11 cm
Question 6
6.
Which of the following are measures of an acute angled triangle ?
  • (i)
    PQ = 13 cm , QR = 22 cm , RP = 12 cm
  • (ii)
    PQ = 11 cm , QR = 12 cm , RP = 12 cm
  • (iii)
    PQ = 12 cm , QR = 19 cm , RP = 10 cm
  • (iv)
    PQ = 12 cm , QR = 12 cm , RP = 16.97 cm
  • (v)
    PQ = 10 cm , QR = 15 cm , RP = 18.03 cm
Question 7
7.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    CD = 15 cm , DE = 24 cm , EC = 15 cm
  • (ii)
    CD = 12 cm , DE = 15 cm , EC = 12 cm
  • (iii)
    CD = 15 cm , DE = 15 cm , EC = 21.21 cm
  • (iv)
    CD = 10 cm , DE = 13 cm , EC = 11 cm
  • (v)
    CD = 11 cm , DE = 10 cm , EC = 14.87 cm
Question 8
8.
Which of the following are measures of an equilateral triangle ?
  • (i)
    EF = 13 cm , FG = 13 cm , GE = 18.38 cm
  • (ii)
    EF = 14 cm , FG = 14 cm , GE = 14 cm
  • (iii)
    EF = 14 cm , FG = 15 cm , GE = 14 cm
  • (iv)
    EF = 12 cm , FG = 15 cm , GE = 19.21 cm
  • (v)
    EF = 11 cm , FG = 10 cm , GE = 14 cm
Question 9
9.
Which of the following are measures of an isosceles triangle ?
  • (i)
    AB = 13 cm , BC = 10 cm , CA = 16.4 cm
  • (ii)
    AB = 11 cm , BC = 11 cm , CA = 11 cm
  • (iii)
    AB = 12 cm , BC = 13 cm , CA = 11 cm
  • (iv)
    AB = 11 cm , BC = 14 cm , CA = 11 cm
  • (v)
    AB = 10 cm , BC = 14 cm , CA = 13 cm
Question 10
10.
Which of the following are measures of a scalene triangle ?
  • (i)
    JK = 11 cm , KL = 11 cm , LJ = 11 cm
  • (ii)
    JK = 13 cm , KL = 11 cm , LJ = 13 cm
  • (iii)
    JK = 10 cm , KL = 10 cm , LJ = 14.14 cm
  • (iv)
    JK = 10 cm , KL = 13 cm , LJ = 11 cm
  • (v)
    JK = 12 cm , KL = 14 cm , LJ = 12 cm
Question 11
11.
Which of the following are measures of a right angled triangle ?
  • (i)
    AB = 15 cm , BC = 15 cm , CA = 15 cm
  • (ii)
    AB = 11 cm , BC = 14 cm , CA = 17.8 cm
  • (iii)
    AB = 12 cm , BC = 18 cm , CA = 11 cm
  • (iv)
    AB = 15 cm , BC = 13 cm , CA = 12 cm
  • (v)
    AB = 15 cm , BC = 14 cm , CA = 10 cm
Question 12
12.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    AB = 10 cm , BC = 15 cm , CA = 10 cm
  • (ii)
    AB = 12 cm , BC = 11 cm , CA = 12 cm
  • (iii)
    AB = 14 cm , BC = 14 cm , CA = 14 cm
  • (iv)
    AB = 15 cm , BC = 11 cm , CA = 14 cm
  • (v)
    AB = 12 cm , BC = 12 cm , CA = 16.97 cm
Question 13
13.
Which of the following are measures of an acute angled triangle ?
  • (i)
    PQ = 14 cm , QR = 11 cm , RP = 17.8 cm
  • (ii)
    PQ = 10 cm , QR = 18 cm , RP = 12 cm
  • (iii)
    PQ = 15 cm , QR = 15 cm , RP = 21.21 cm
  • (iv)
    PQ = 14 cm , QR = 12 cm , RP = 12 cm
  • (v)
    PQ = 12 cm , QR = 25 cm , RP = 15 cm
Question 14
14.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    LM = 10 cm , MN = 15 cm , NL = 18.03 cm
  • (ii)
    LM = 12 cm , MN = 13 cm , NL = 14 cm
  • (iii)
    LM = 11 cm , MN = 11 cm , NL = 15.56 cm
  • (iv)
    LM = 10 cm , MN = 16 cm , NL = 12 cm
  • (v)
    LM = 15 cm , MN = 14 cm , NL = 10 cm
Question 15
15.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠F = 45° , ∠G = 90° , ∠H = 45°
  • (ii)
    ∠F = 54.56° , ∠G = 62.72° , ∠H = 62.72°
  • (iii)
    ∠F = 59.49° , ∠G = 53.13° , ∠H = 67.38°
  • (iv)
    ∠F = 42.51° , ∠G = 90° , ∠H = 47.49°
  • (v)
    ∠F = 60° , ∠G = 60° , ∠H = 60°
Question 16
16.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠F = 97.18° , ∠G = 41.41° , ∠H = 41.41°
  • (ii)
    ∠F = 52.62° , ∠G = 59.41° , ∠H = 67.97°
  • (iii)
    ∠F = 47.16° , ∠G = 41.8° , ∠H = 91.04°
  • (iv)
    ∠F = 37.57° , ∠G = 90° , ∠H = 52.43°
  • (v)
    ∠F = 60° , ∠G = 60° , ∠H = 60°
Question 17
17.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠E = 81.08° , ∠F = 49.46° , ∠G = 49.46°
  • (ii)
    ∠E = 60° , ∠F = 60° , ∠G = 60°
  • (iii)
    ∠E = 66.74° , ∠F = 56.63° , ∠G = 56.63°
  • (iv)
    ∠E = 45° , ∠F = 90° , ∠G = 45°
  • (v)
    ∠E = 61.28° , ∠F = 47.91° , ∠G = 70.81°
Question 18
18.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠J = 95.22° , ∠K = 40.12° , ∠L = 44.66°
  • (ii)
    ∠J = 43.28° , ∠K = 73.69° , ∠L = 63.03°
  • (iii)
    ∠J = 60° , ∠K = 60° , ∠L = 60°
  • (iv)
    ∠J = 51.84° , ∠K = 90° , ∠L = 38.16°
  • (v)
    ∠J = 61.26° , ∠K = 46.95° , ∠L = 71.79°
Question 19
19.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠P = 41.08° , ∠Q = 80.25° , ∠R = 58.67°
  • (ii)
    ∠P = 45° , ∠Q = 90° , ∠R = 45°
  • (iii)
    ∠P = 110.46° , ∠Q = 34.77° , ∠R = 34.77°
  • (iv)
    ∠P = 49.32° , ∠Q = 55.83° , ∠R = 74.85°
  • (v)
    ∠P = 60° , ∠Q = 60° , ∠R = 60°
Question 20
20.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠C = 58.67° , ∠D = 41.08° , ∠E = 80.25°
  • (ii)
    ∠C = 45° , ∠D = 90° , ∠E = 45°
  • (iii)
    ∠C = 125.43° , ∠D = 28.38° , ∠E = 26.19°
  • (iv)
    ∠C = 116.39° , ∠D = 35.75° , ∠E = 27.86°
  • (v)
    ∠C = 38.16° , ∠D = 90° , ∠E = 51.84°
Question 21
21.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠C = 47.73° , ∠D = 90° , ∠E = 42.27°
  • (ii)
    ∠C = 75.31° , ∠D = 40.16° , ∠E = 64.53°
  • (iii)
    ∠C = 125.43° , ∠D = 26.19° , ∠E = 28.38°
  • (iv)
    ∠C = 62.18° , ∠D = 62.18° , ∠E = 55.64°
  • (v)
    ∠C = 45° , ∠D = 90° , ∠E = 45°
Question 22
22.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠O = 45° , ∠P = 90° , ∠Q = 45°
  • (ii)
    ∠O = 70.46° , ∠P = 54.77° , ∠Q = 54.77°
  • (iii)
    ∠O = 51.32° , ∠P = 83.47° , ∠Q = 45.21°
  • (iv)
    ∠O = 60° , ∠P = 60° , ∠Q = 60°
  • (v)
    ∠O = 42.27° , ∠P = 90° , ∠Q = 47.73°
Question 23
23.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠P = 56.31° , ∠Q = 90° , ∠R = 33.69°
  • (ii)
    ∠P = 70.46° , ∠Q = 54.77° , ∠R = 54.77°
  • (iii)
    ∠P = 60° , ∠Q = 60° , ∠R = 60°
  • (iv)
    ∠P = 59.41° , ∠Q = 67.97° , ∠R = 52.62°
  • (v)
    ∠P = 48.74° , ∠Q = 61.28° , ∠R = 69.98°
Question 24
24.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠C = 50.06° , ∠D = 64.97° , ∠E = 64.97°
  • (ii)
    ∠C = 66.12° , ∠D = 56.94° , ∠E = 56.94°
  • (iii)
    ∠C = 45° , ∠D = 90° , ∠E = 45°
  • (iv)
    ∠C = 45.21° , ∠D = 51.32° , ∠E = 83.47°
  • (v)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
Question 25
25.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠G = 75.31° , ∠H = 64.53° , ∠I = 40.16°
  • (ii)
    ∠G = 42.71° , ∠H = 90° , ∠I = 47.29°
  • (iii)
    ∠G = 60° , ∠H = 60° , ∠I = 60°
  • (iv)
    ∠G = 83.47° , ∠H = 45.21° , ∠I = 51.32°
  • (v)
    ∠G = 104.68° , ∠H = 37.66° , ∠I = 37.66°
Question 26
26.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠G = 122.01° , ∠H = 22.67° , ∠I = 35.32°
  • (ii)
    ∠G = 45° , ∠H = 90° , ∠I = 45°
  • (iii)
    ∠G = 60° , ∠H = 60° , ∠I = 60°
  • (iv)
    ∠G = 78.46° , ∠H = 44.42° , ∠I = 57.12°
  • (v)
    ∠G = 41.65° , ∠H = 85.46° , ∠I = 52.89°
Question 27
27.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠F = 51.84° , ∠G = 90° , ∠H = 38.16°
  • (ii)
    ∠F = 57.42° , ∠G = 57.42° , ∠H = 65.16°
  • (iii)
    ∠F = 45° , ∠G = 90° , ∠H = 45°
  • (iv)
    ∠F = 112.62° , ∠G = 36.87° , ∠H = 30.51°
  • (v)
    ∠F = 119.46° , ∠G = 30.27° , ∠H = 30.27°
Question 28
28.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠J = 54.31° , ∠K = 71.38° , ∠L = 54.31°
  • (ii)
    ∠J = 110.26° , ∠K = 37.72° , ∠L = 32.02°
  • (iii)
    ∠J = 47.49° , ∠K = 90° , ∠L = 42.51°
  • (iv)
    ∠J = 45° , ∠K = 90° , ∠L = 45°
  • (v)
    ∠J = 69.98° , ∠K = 61.28° , ∠L = 48.74°
Question 29
29.
Find the measures of the three sides suitable to form a triangle?
  • (i)
    NO = 19 cm , OP = 10 cm , PN = 8 cm
  • (ii)
    NO = 6 cm , OP = 5 cm , PN = 20 cm
  • (iii)
    NO = 12 cm , OP = 12 cm , PN = 11 cm
  • (iv)
    NO = 15 cm , OP = 5 cm , PN = 8 cm
  • (v)
    NO = 6 cm , OP = 5 cm , PN = 16 cm
Question 30
30.
Find the measures of the three angles suitable to form a triangle?
  • (i)
    ∠I = 102.20° , ∠J = 44.20° , ∠K = 67.70°
  • (ii)
    ∠I = 87.60° , ∠J = 105.40° , ∠K = 69.20°
  • (iii)
    ∠I = 87.90° , ∠J = 102.80° , ∠K = 67.80°
  • (iv)
    ∠I = 52.02° , ∠J = 59.3° , ∠K = 68.68°
  • (v)
    ∠I = 115.90° , ∠J = 83.50° , ∠K = 62.10°
Question 31
31.
In a right angled triangle, if one of the angles is 39.81°, find the third angle
  • (i)
    55.19°
  • (ii)
    50.19°
  • (iii)
    80.19°
  • (iv)
    60.19°
  • (v)
    65.19°
Question 32
32.
In a right angled triangle, if one of the angles is 51.34°, find the third angle
  • (i)
    53.66°
  • (ii)
    48.66°
  • (iii)
    38.66°
  • (iv)
    68.66°
  • (v)
    43.66°
    Assignment Key

  •  1) (iii)
  •  2) (i)
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  •  12) (v)
  •  13) (iv)
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  •  15) (v)
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  •  17) (v)
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  •  30) (iv)
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  •  32) (iii)