EduSahara™ Assignment
Name : Types of Triangles
Chapter : Understanding Elementary Shapes
Grade : CBSE Grade VI
License : Non Commercial Use
Question 1
1.
Consider the following figure. State which of the following statements are true
a)
    •  


      LM
       
       
    • =
    •  


      MK
       
       
b)
    •  


      KL
       
       
    •  


      LM
       
       
c)
    •  


      MK
       
       
    • =
    •  


      KL
       
       
d)
    •  


      LM
       
       
    •  


      MK
       
       
e)
    •  


      MK
       
       
    •  


      KL
       
       
f)
    •  


      KL
       
       
    • =
    •  


      LM
       
       
  • (i)
    {d,c}
  • (ii)
    {a,c,f}
  • (iii)
    {d,a,c}
  • (iv)
    {b,a}
  • (v)
    {e,b,f}
Question 2
2.
Consider the following figure. State which of the following statements are true
a)
    •  


      BC
       
       
    •  


      CA
       
       
b)
    •  


      BC
       
       
    • =
    •  


      CA
       
       
c)
    •  


      AB
       
       
    •  


      BC
       
       
d)
    •  


      AB
       
       
    • =
    •  


      BC
       
       
e)
    •  


      CA
       
       
    •  


      AB
       
       
f)
    •  


      CA
       
       
    • =
    •  


      AB
       
       
  • (i)
    {d,a,c}
  • (ii)
    {e,b,f}
  • (iii)
    {a,c,f}
  • (iv)
    {d,c}
  • (v)
    {b,a}
Question 3
3.
Consider the following figure. State which of the following statements are true
a)
    •  


      HI
       
       
    • =
    •  


      IJ
       
       
b)
    •  


      JH
       
       
    • =
    •  


      HI
       
       
c)
    •  


      IJ
       
       
    • =
    •  


      JH
       
       
d)
    •  


      JH
       
       
    •  


      HI
       
       
e)
    •  


      IJ
       
       
    •  


      JH
       
       
f)
    •  


      HI
       
       
    •  


      IJ
       
       
  • (i)
    {d,e,f}
  • (ii)
    {b,d,e}
  • (iii)
    {a,d}
  • (iv)
    {c,a,f}
  • (v)
    {b,e}
Question 4
4.
Consider the following figure. State which of the following statements are true
a)
    • ∠O
    • =
    • ∠M
b)
    • ∠M
    • ∠N
c)
    • ∠N
    • ∠O
d)
    • ∠O
    • ∠M
e)
    • ∠N
    • =
    • ∠O
f)
    • ∠M
    • =
    • ∠N
  • (i)
    {d,b,f}
  • (ii)
    {a,e,f}
  • (iii)
    {c,a,e}
  • (iv)
    {b,a}
  • (v)
    {c,e}
Question 5
5.
Consider the following figure. State which of the following statements are true
a)
    • ∠P
    • =
    • ∠Q
b)
    • ∠O
    • ∠P
c)
    • ∠Q
    • =
    • ∠O
d)
    • ∠O
    • =
    • ∠P
e)
    • ∠P
    • ∠Q
f)
    • ∠Q
    • ∠O
  • (i)
    {a,b,f}
  • (ii)
    {d,b}
  • (iii)
    {d,a,b}
  • (iv)
    {e,c,f}
  • (v)
    {c,a}
Question 6
6.
Consider the following figure. State which of the following statements are true
a)
    • ∠D
    • =
    • ∠E
b)
    • ∠E
    • =
    • ∠C
c)
    • ∠C
    • ∠D
d)
    • ∠D
    • ∠E
e)
    • ∠C
    • =
    • ∠D
f)
    • ∠E
    • ∠C
  • (i)
    {b,c,d}
  • (ii)
    {c,d,f}
  • (iii)
    {a,c}
  • (iv)
    {e,a,f}
  • (v)
    {b,d}
Question 7
7.
Which of the following are measures of an equilateral triangle ?
  • (i)
    GH = 11 cm , HI = 11 cm , IG = 15.56 cm
  • (ii)
    GH = 12 cm , HI = 12 cm , IG = 12 cm
  • (iii)
    GH = 11 cm , HI = 12 cm , IG = 11 cm
  • (iv)
    GH = 13 cm , HI = 10 cm , IG = 15 cm
  • (v)
    GH = 14 cm , HI = 12 cm , IG = 18.44 cm
Question 8
8.
Which of the following are measures of an isosceles triangle ?
  • (i)
    AB = 14 cm , BC = 13 cm , CA = 19.1 cm
  • (ii)
    AB = 15 cm , BC = 11 cm , CA = 12 cm
  • (iii)
    AB = 11 cm , BC = 11 cm , CA = 11 cm
  • (iv)
    AB = 11 cm , BC = 14 cm , CA = 11 cm
  • (v)
    AB = 15 cm , BC = 12 cm , CA = 14 cm
Question 9
9.
Which of the following are measures of a scalene triangle ?
  • (i)
    JK = 12 cm , KL = 15 cm , LJ = 14 cm
  • (ii)
    JK = 10 cm , KL = 10 cm , LJ = 14.14 cm
  • (iii)
    JK = 14 cm , KL = 15 cm , LJ = 14 cm
  • (iv)
    JK = 13 cm , KL = 10 cm , LJ = 13 cm
  • (v)
    JK = 11 cm , KL = 11 cm , LJ = 11 cm
Question 10
10.
Which of the following are measures of a right angled triangle ?
  • (i)
    LM = 14 cm , MN = 13 cm , NL = 15 cm
  • (ii)
    LM = 14 cm , MN = 14 cm , NL = 14 cm
  • (iii)
    LM = 12 cm , MN = 13 cm , NL = 15 cm
  • (iv)
    LM = 13 cm , MN = 17 cm , NL = 10 cm
  • (v)
    LM = 13 cm , MN = 14 cm , NL = 19.1 cm
Question 11
11.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    IJ = 15 cm , JK = 26 cm , KI = 15 cm
  • (ii)
    IJ = 12 cm , JK = 13 cm , KI = 11 cm
  • (iii)
    IJ = 12 cm , JK = 12 cm , KI = 12 cm
  • (iv)
    IJ = 12 cm , JK = 12 cm , KI = 14 cm
  • (v)
    IJ = 14 cm , JK = 14 cm , KI = 19.8 cm
Question 12
12.
Which of the following are measures of an acute angled triangle ?
  • (i)
    FG = 11 cm , GH = 13 cm , HF = 17.03 cm
  • (ii)
    FG = 10 cm , GH = 20 cm , HF = 13 cm
  • (iii)
    FG = 13 cm , GH = 24 cm , HF = 15 cm
  • (iv)
    FG = 13 cm , GH = 13 cm , HF = 18.38 cm
  • (v)
    FG = 10 cm , GH = 10 cm , HF = 11 cm
Question 13
13.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    LM = 13 cm , MN = 13 cm , NL = 18.38 cm
  • (ii)
    LM = 13 cm , MN = 12 cm , NL = 11 cm
  • (iii)
    LM = 12 cm , MN = 19 cm , NL = 13 cm
  • (iv)
    LM = 10 cm , MN = 13 cm , NL = 16.4 cm
  • (v)
    LM = 13 cm , MN = 11 cm , NL = 15 cm
Question 14
14.
Which of the following are measures of an equilateral triangle ?
  • (i)
    JK = 11 cm , KL = 11 cm , LJ = 15.56 cm
  • (ii)
    JK = 12 cm , KL = 12 cm , LJ = 12 cm
  • (iii)
    JK = 10 cm , KL = 15 cm , LJ = 18.03 cm
  • (iv)
    JK = 10 cm , KL = 11 cm , LJ = 10 cm
  • (v)
    JK = 14 cm , KL = 12 cm , LJ = 13 cm
Question 15
15.
Which of the following are measures of an isosceles triangle ?
  • (i)
    AB = 14 cm , BC = 14 cm , CA = 14 cm
  • (ii)
    AB = 12 cm , BC = 13 cm , CA = 17.69 cm
  • (iii)
    AB = 15 cm , BC = 11 cm , CA = 10 cm
  • (iv)
    AB = 14 cm , BC = 13 cm , CA = 15 cm
  • (v)
    AB = 13 cm , BC = 15 cm , CA = 13 cm
Question 16
16.
Which of the following are measures of a scalene triangle ?
  • (i)
    CD = 11 cm , DE = 14 cm , EC = 13 cm
  • (ii)
    CD = 10 cm , DE = 10 cm , EC = 10 cm
  • (iii)
    CD = 11 cm , DE = 13 cm , EC = 11 cm
  • (iv)
    CD = 14 cm , DE = 14 cm , EC = 19.8 cm
  • (v)
    CD = 13 cm , DE = 10 cm , EC = 13 cm
Question 17
17.
Which of the following are measures of a right angled triangle ?
  • (i)
    JK = 11 cm , KL = 11 cm , LJ = 11 cm
  • (ii)
    JK = 15 cm , KL = 14 cm , LJ = 12 cm
  • (iii)
    JK = 12 cm , KL = 20 cm , LJ = 13 cm
  • (iv)
    JK = 14 cm , KL = 13 cm , LJ = 19.1 cm
  • (v)
    JK = 12 cm , KL = 14 cm , LJ = 10 cm
Question 18
18.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    EF = 14 cm , FG = 14 cm , GE = 19.8 cm
  • (ii)
    EF = 10 cm , FG = 21 cm , GE = 14 cm
  • (iii)
    EF = 13 cm , FG = 13 cm , GE = 13 cm
  • (iv)
    EF = 13 cm , FG = 15 cm , GE = 14 cm
  • (v)
    EF = 13 cm , FG = 14 cm , GE = 12 cm
Question 19
19.
Which of the following are measures of an acute angled triangle ?
  • (i)
    AB = 15 cm , BC = 14 cm , CA = 20.52 cm
  • (ii)
    AB = 12 cm , BC = 23 cm , CA = 14 cm
  • (iii)
    AB = 10 cm , BC = 13 cm , CA = 15 cm
  • (iv)
    AB = 10 cm , BC = 10 cm , CA = 14.14 cm
  • (v)
    AB = 11 cm , BC = 16 cm , CA = 10 cm
Question 20
20.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    AB = 14 cm , BC = 11 cm , CA = 15 cm
  • (ii)
    AB = 13 cm , BC = 22 cm , CA = 14 cm
  • (iii)
    AB = 13 cm , BC = 14 cm , CA = 19.1 cm
  • (iv)
    AB = 10 cm , BC = 10 cm , CA = 14.14 cm
  • (v)
    AB = 12 cm , BC = 11 cm , CA = 10 cm
Question 21
21.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠I = 60° , ∠J = 60° , ∠K = 60°
  • (ii)
    ∠I = 70.81° , ∠J = 61.28° , ∠K = 47.91°
  • (iii)
    ∠I = 49.4° , ∠J = 90° , ∠K = 40.6°
  • (iv)
    ∠I = 77.36° , ∠J = 51.32° , ∠K = 51.32°
  • (v)
    ∠I = 45° , ∠J = 90° , ∠K = 45°
Question 22
22.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠G = 85.98° , ∠H = 47.01° , ∠I = 47.01°
  • (ii)
    ∠G = 36.25° , ∠H = 90° , ∠I = 53.75°
  • (iii)
    ∠G = 60° , ∠H = 60° , ∠I = 60°
  • (iv)
    ∠G = 58.67° , ∠H = 80.25° , ∠I = 41.08°
  • (v)
    ∠G = 49.32° , ∠H = 74.85° , ∠I = 55.83°
Question 23
23.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠D = 60° , ∠E = 60° , ∠F = 60°
  • (ii)
    ∠D = 61.28° , ∠E = 47.91° , ∠F = 70.81°
  • (iii)
    ∠D = 50.06° , ∠E = 64.97° , ∠F = 64.97°
  • (iv)
    ∠D = 77.36° , ∠E = 51.32° , ∠F = 51.32°
  • (v)
    ∠D = 45° , ∠E = 90° , ∠F = 45°
Question 24
24.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠N = 35.54° , ∠O = 90° , ∠P = 54.46°
  • (ii)
    ∠N = 60° , ∠O = 60° , ∠P = 60°
  • (iii)
    ∠N = 119.17° , ∠O = 33.47° , ∠P = 27.36°
  • (iv)
    ∠N = 65.37° , ∠O = 49.25° , ∠P = 65.38°
  • (v)
    ∠N = 59.17° , ∠O = 69.51° , ∠P = 51.32°
Question 25
25.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠F = 51.32° , ∠G = 59.17° , ∠H = 69.51°
  • (ii)
    ∠F = 68.49° , ∠G = 68.49° , ∠H = 43.02°
  • (iii)
    ∠F = 45° , ∠G = 90° , ∠H = 45°
  • (iv)
    ∠F = 60° , ∠G = 60° , ∠H = 60°
  • (v)
    ∠F = 114.22° , ∠G = 34.37° , ∠H = 31.41°
Question 26
26.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠B = 121.19° , ∠C = 34.77° , ∠D = 24.04°
  • (ii)
    ∠B = 96.82° , ∠C = 37.36° , ∠D = 45.82°
  • (iii)
    ∠B = 59.49° , ∠C = 67.38° , ∠D = 53.13°
  • (iv)
    ∠B = 47.49° , ∠C = 90° , ∠D = 42.51°
  • (v)
    ∠B = 45° , ∠C = 90° , ∠D = 45°
Question 27
27.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠G = 69.98° , ∠H = 48.74° , ∠I = 61.28°
  • (ii)
    ∠G = 45° , ∠H = 90° , ∠I = 45°
  • (iii)
    ∠G = 51.34° , ∠H = 90° , ∠I = 38.66°
  • (iv)
    ∠G = 112.75° , ∠H = 41.2° , ∠I = 26.05°
  • (v)
    ∠G = 73.62° , ∠H = 56.25° , ∠I = 50.13°
Question 28
28.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠C = 75.31° , ∠D = 40.16° , ∠E = 64.53°
  • (ii)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
  • (iii)
    ∠C = 51.84° , ∠D = 90° , ∠E = 38.16°
  • (iv)
    ∠C = 66.74° , ∠D = 56.63° , ∠E = 56.63°
  • (v)
    ∠C = 45° , ∠D = 90° , ∠E = 45°
Question 29
29.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠H = 53.75° , ∠I = 90° , ∠J = 36.25°
  • (ii)
    ∠H = 48.37° , ∠I = 55.3° , ∠J = 76.33°
  • (iii)
    ∠H = 60° , ∠I = 60° , ∠J = 60°
  • (iv)
    ∠H = 47.16° , ∠I = 66.42° , ∠J = 66.42°
  • (v)
    ∠H = 85.46° , ∠I = 41.65° , ∠J = 52.89°
Question 30
30.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
  • (ii)
    ∠C = 46.26° , ∠D = 66.87° , ∠E = 66.87°
  • (iii)
    ∠C = 45° , ∠D = 90° , ∠E = 45°
  • (iv)
    ∠C = 64.78° , ∠D = 57.61° , ∠E = 57.61°
  • (v)
    ∠C = 91.04° , ∠D = 41.8° , ∠E = 47.16°
Question 31
31.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠E = 47.49° , ∠F = 90° , ∠G = 42.51°
  • (ii)
    ∠E = 55.83° , ∠F = 49.32° , ∠G = 74.85°
  • (iii)
    ∠E = 95.52° , ∠F = 40.31° , ∠G = 44.17°
  • (iv)
    ∠E = 64.32° , ∠F = 51.36° , ∠G = 64.32°
  • (v)
    ∠E = 60° , ∠F = 60° , ∠G = 60°
Question 32
32.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠B = 64.32° , ∠C = 51.36° , ∠D = 64.32°
  • (ii)
    ∠B = 45° , ∠C = 90° , ∠D = 45°
  • (iii)
    ∠B = 92.73° , ∠C = 41.75° , ∠D = 45.52°
  • (iv)
    ∠B = 64.53° , ∠C = 75.31° , ∠D = 40.16°
  • (v)
    ∠B = 60° , ∠C = 60° , ∠D = 60°
Question 33
33.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠D = 95.22° , ∠E = 44.66° , ∠F = 40.12°
  • (ii)
    ∠D = 45° , ∠E = 90° , ∠F = 45°
  • (iii)
    ∠D = 89.81° , ∠E = 33.75° , ∠F = 56.44°
  • (iv)
    ∠D = 51.34° , ∠E = 90° , ∠F = 38.66°
  • (v)
    ∠D = 45.21° , ∠E = 83.47° , ∠F = 51.32°
Question 34
34.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠M = 117.82° , ∠N = 28.62° , ∠O = 33.56°
  • (ii)
    ∠M = 81.28° , ∠N = 46.46° , ∠O = 52.26°
  • (iii)
    ∠M = 42.51° , ∠N = 90° , ∠O = 47.49°
  • (iv)
    ∠M = 62.97° , ∠N = 54.07° , ∠O = 62.96°
  • (v)
    ∠M = 45° , ∠N = 90° , ∠O = 45°
Question 35
35.
Find the measures of the three sides suitable to form a triangle?
  • (i)
    PQ = 19 cm , QR = 9 cm , RP = 8 cm
  • (ii)
    PQ = 12 cm , QR = 20 cm , RP = 6 cm
  • (iii)
    PQ = 20 cm , QR = 7 cm , RP = 9 cm
  • (iv)
    PQ = 12 cm , QR = 13 cm , RP = 11 cm
  • (v)
    PQ = 6 cm , QR = 11 cm , RP = 19 cm
Question 36
36.
Find the measures of the three angles suitable to form a triangle?
  • (i)
    ∠L = 111.50° , ∠M = 112.40° , ∠N = 115.80°
  • (ii)
    ∠L = 79.10° , ∠M = 82.70° , ∠N = 54.30°
  • (iii)
    ∠L = 66.12° , ∠M = 56.94° , ∠N = 56.94°
  • (iv)
    ∠L = 104.10° , ∠M = 79.10° , ∠N = 110.20°
  • (v)
    ∠L = 99.20° , ∠M = 120.50° , ∠N = 108.30°
    Assignment Key

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