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)
    •  


      OM
       
       
    • =
    •  


      MN
       
       
b)
    •  


      NO
       
       
    •  


      OM
       
       
c)
    •  


      MN
       
       
    •  


      NO
       
       
d)
    •  


      MN
       
       
    • =
    •  


      NO
       
       
e)
    •  


      NO
       
       
    • =
    •  


      OM
       
       
f)
    •  


      OM
       
       
    •  


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


      EF
       
       
    •  


      FD
       
       
b)
    •  


      DE
       
       
    •  


      EF
       
       
c)
    •  


      FD
       
       
    •  


      DE
       
       
d)
    •  


      DE
       
       
    • =
    •  


      EF
       
       
e)
    •  


      FD
       
       
    • =
    •  


      DE
       
       
f)
    •  


      EF
       
       
    • =
    •  


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


      KL
       
       
    • =
    •  


      LM
       
       
b)
    •  


      LM
       
       
    • =
    •  


      MK
       
       
c)
    •  


      MK
       
       
    • =
    •  


      KL
       
       
d)
    •  


      KL
       
       
    •  


      LM
       
       
e)
    •  


      MK
       
       
    •  


      KL
       
       
f)
    •  


      LM
       
       
    •  


      MK
       
       
  • (i)
    {b,e}
  • (ii)
    {a,d}
  • (iii)
    {d,e,f}
  • (iv)
    {b,d,e}
  • (v)
    {c,a,f}
Question 4
4.
Consider the following figure. State which of the following statements are true
a)
    • ∠N
    • ∠O
b)
    • ∠M
    • =
    • ∠N
c)
    • ∠M
    • ∠N
d)
    • ∠O
    • =
    • ∠M
e)
    • ∠O
    • ∠M
f)
    • ∠N
    • =
    • ∠O
  • (i)
    {b,d,f}
  • (ii)
    {c,d}
  • (iii)
    {c,b,d}
  • (iv)
    {a,b}
  • (v)
    {e,a,f}
Question 5
5.
Consider the following figure. State which of the following statements are true
a)
    • ∠H
    • =
    • ∠F
b)
    • ∠H
    • ∠F
c)
    • ∠F
    • =
    • ∠G
d)
    • ∠G
    • ∠H
e)
    • ∠F
    • ∠G
f)
    • ∠G
    • =
    • ∠H
  • (i)
    {c,b,e}
  • (ii)
    {d,a,f}
  • (iii)
    {b,e,f}
  • (iv)
    {a,b}
  • (v)
    {c,e}
Question 6
6.
Consider the following figure. State which of the following statements are true
a)
    • ∠P
    • =
    • ∠N
b)
    • ∠O
    • =
    • ∠P
c)
    • ∠O
    • ∠P
d)
    • ∠N
    • =
    • ∠O
e)
    • ∠N
    • ∠O
f)
    • ∠P
    • ∠N
  • (i)
    {c,e,f}
  • (ii)
    {b,e}
  • (iii)
    {b,c,e}
  • (iv)
    {a,c}
  • (v)
    {d,a,f}
Question 7
7.
Which of the following are measures of an equilateral triangle ?
  • (i)
    KL = 12 cm , LM = 12 cm , MK = 12 cm
  • (ii)
    KL = 10 cm , LM = 12 cm , MK = 15.62 cm
  • (iii)
    KL = 15 cm , LM = 15 cm , MK = 21.21 cm
  • (iv)
    KL = 13 cm , LM = 15 cm , MK = 10 cm
  • (v)
    KL = 13 cm , LM = 15 cm , MK = 13 cm
Question 8
8.
Which of the following are measures of an isosceles triangle ?
  • (i)
    JK = 13 cm , KL = 15 cm , LJ = 10 cm
  • (ii)
    JK = 11 cm , KL = 15 cm , LJ = 11 cm
  • (iii)
    JK = 12 cm , KL = 12 cm , LJ = 12 cm
  • (iv)
    JK = 10 cm , KL = 13 cm , LJ = 16.4 cm
  • (v)
    JK = 15 cm , KL = 11 cm , LJ = 14 cm
Question 9
9.
Which of the following are measures of a scalene triangle ?
  • (i)
    KL = 12 cm , LM = 12 cm , MK = 12 cm
  • (ii)
    KL = 12 cm , LM = 15 cm , MK = 12 cm
  • (iii)
    KL = 11 cm , LM = 13 cm , MK = 12 cm
  • (iv)
    KL = 11 cm , LM = 11 cm , MK = 15.56 cm
  • (v)
    KL = 10 cm , LM = 15 cm , MK = 10 cm
Question 10
10.
Which of the following are measures of a right angled triangle ?
  • (i)
    NO = 13 cm , OP = 10 cm , PN = 16.4 cm
  • (ii)
    NO = 13 cm , OP = 15 cm , PN = 12 cm
  • (iii)
    NO = 10 cm , OP = 22 cm , PN = 14 cm
  • (iv)
    NO = 15 cm , OP = 15 cm , PN = 15 cm
  • (v)
    NO = 12 cm , OP = 14 cm , PN = 12 cm
Question 11
11.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    AB = 14 cm , BC = 14 cm , CA = 14 cm
  • (ii)
    AB = 15 cm , BC = 15 cm , CA = 21.21 cm
  • (iii)
    AB = 14 cm , BC = 18 cm , CA = 10 cm
  • (iv)
    AB = 15 cm , BC = 13 cm , CA = 11 cm
  • (v)
    AB = 14 cm , BC = 11 cm , CA = 14 cm
Question 12
12.
Which of the following are measures of an acute angled triangle ?
  • (i)
    DE = 11 cm , EF = 14 cm , FD = 17.8 cm
  • (ii)
    DE = 14 cm , EF = 23 cm , FD = 13 cm
  • (iii)
    DE = 14 cm , EF = 24 cm , FD = 12 cm
  • (iv)
    DE = 14 cm , EF = 14 cm , FD = 19.8 cm
  • (v)
    DE = 11 cm , EF = 11 cm , FD = 15 cm
Question 13
13.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    PQ = 13 cm , QR = 10 cm , RP = 16.4 cm
  • (ii)
    PQ = 14 cm , QR = 21 cm , RP = 12 cm
  • (iii)
    PQ = 13 cm , QR = 13 cm , RP = 14 cm
  • (iv)
    PQ = 11 cm , QR = 11 cm , RP = 15.56 cm
  • (v)
    PQ = 15 cm , QR = 14 cm , RP = 12 cm
Question 14
14.
Which of the following are measures of an equilateral triangle ?
  • (i)
    CD = 14 cm , DE = 15 cm , EC = 10 cm
  • (ii)
    CD = 11 cm , DE = 13 cm , EC = 17.03 cm
  • (iii)
    CD = 15 cm , DE = 15 cm , EC = 15 cm
  • (iv)
    CD = 11 cm , DE = 14 cm , EC = 11 cm
  • (v)
    CD = 13 cm , DE = 13 cm , EC = 18.38 cm
Question 15
15.
Which of the following are measures of an isosceles triangle ?
  • (i)
    NO = 10 cm , OP = 13 cm , PN = 14 cm
  • (ii)
    NO = 11 cm , OP = 15 cm , PN = 13 cm
  • (iii)
    NO = 10 cm , OP = 10 cm , PN = 10 cm
  • (iv)
    NO = 14 cm , OP = 13 cm , PN = 19.1 cm
  • (v)
    NO = 13 cm , OP = 14 cm , PN = 13 cm
Question 16
16.
Which of the following are measures of a scalene triangle ?
  • (i)
    JK = 12 cm , KL = 12 cm , LJ = 16.97 cm
  • (ii)
    JK = 14 cm , KL = 11 cm , LJ = 14 cm
  • (iii)
    JK = 10 cm , KL = 14 cm , LJ = 15 cm
  • (iv)
    JK = 11 cm , KL = 11 cm , LJ = 11 cm
  • (v)
    JK = 15 cm , KL = 10 cm , LJ = 15 cm
Question 17
17.
Which of the following are measures of a right angled triangle ?
  • (i)
    IJ = 13 cm , JK = 13 cm , KI = 10 cm
  • (ii)
    IJ = 10 cm , JK = 12 cm , KI = 15.62 cm
  • (iii)
    IJ = 15 cm , JK = 15 cm , KI = 15 cm
  • (iv)
    IJ = 14 cm , JK = 13 cm , KI = 12 cm
  • (v)
    IJ = 13 cm , JK = 17 cm , KI = 10 cm
Question 18
18.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    PQ = 12 cm , QR = 16 cm , RP = 10 cm
  • (ii)
    PQ = 11 cm , QR = 11 cm , RP = 15.56 cm
  • (iii)
    PQ = 12 cm , QR = 11 cm , RP = 15 cm
  • (iv)
    PQ = 15 cm , QR = 14 cm , RP = 14 cm
  • (v)
    PQ = 11 cm , QR = 11 cm , RP = 11 cm
Question 19
19.
Which of the following are measures of an acute angled triangle ?
  • (i)
    DE = 10 cm , EF = 12 cm , FD = 15.62 cm
  • (ii)
    DE = 12 cm , EF = 20 cm , FD = 15 cm
  • (iii)
    DE = 11 cm , EF = 12 cm , FD = 13 cm
  • (iv)
    DE = 12 cm , EF = 12 cm , FD = 16.97 cm
  • (v)
    DE = 15 cm , EF = 26 cm , FD = 13 cm
Question 20
20.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    CD = 11 cm , DE = 11 cm , EC = 15.56 cm
  • (ii)
    CD = 11 cm , DE = 14 cm , EC = 17.8 cm
  • (iii)
    CD = 10 cm , DE = 11 cm , EC = 13 cm
  • (iv)
    CD = 12 cm , DE = 10 cm , EC = 10 cm
  • (v)
    CD = 11 cm , DE = 19 cm , EC = 12 cm
Question 21
21.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
  • (ii)
    ∠C = 37.57° , ∠D = 90° , ∠E = 52.43°
  • (iii)
    ∠C = 77.36° , ∠D = 51.32° , ∠E = 51.32°
  • (iv)
    ∠C = 45° , ∠D = 90° , ∠E = 45°
  • (v)
    ∠C = 85.46° , ∠D = 52.89° , ∠E = 41.65°
Question 22
22.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠L = 63.03° , ∠M = 73.69° , ∠N = 43.28°
  • (ii)
    ∠L = 54.46° , ∠M = 90° , ∠N = 35.54°
  • (iii)
    ∠L = 88.86° , ∠M = 45.57° , ∠N = 45.57°
  • (iv)
    ∠L = 52.89° , ∠M = 41.65° , ∠N = 85.46°
  • (v)
    ∠L = 60° , ∠M = 60° , ∠N = 60°
Question 23
23.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠J = 71.38° , ∠K = 54.31° , ∠L = 54.31°
  • (ii)
    ∠J = 60° , ∠K = 60° , ∠L = 60°
  • (iii)
    ∠J = 55.83° , ∠K = 74.85° , ∠L = 49.32°
  • (iv)
    ∠J = 50.06° , ∠K = 64.97° , ∠L = 64.97°
  • (v)
    ∠J = 45° , ∠K = 90° , ∠L = 45°
Question 24
24.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠J = 143.62° , ∠K = 18.19° , ∠L = 18.19°
  • (ii)
    ∠J = 60° , ∠K = 60° , ∠L = 60°
  • (iii)
    ∠J = 43.03° , ∠K = 90° , ∠L = 46.97°
  • (iv)
    ∠J = 75.31° , ∠K = 40.16° , ∠L = 64.53°
  • (v)
    ∠J = 52.62° , ∠K = 59.41° , ∠L = 67.97°
Question 25
25.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠K = 45° , ∠L = 90° , ∠M = 45°
  • (ii)
    ∠K = 60° , ∠L = 60° , ∠M = 60°
  • (iii)
    ∠K = 67.38° , ∠L = 53.13° , ∠M = 59.49°
  • (iv)
    ∠K = 41.85° , ∠L = 69.07° , ∠M = 69.08°
  • (v)
    ∠K = 118° , ∠L = 31° , ∠M = 31°
Question 26
26.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠L = 102.05° , ∠M = 40.69° , ∠N = 37.26°
  • (ii)
    ∠L = 72.62° , ∠M = 44.42° , ∠N = 62.96°
  • (iii)
    ∠L = 134.18° , ∠M = 19.19° , ∠N = 26.63°
  • (iv)
    ∠L = 45° , ∠M = 90° , ∠N = 45°
  • (v)
    ∠L = 42.88° , ∠M = 90° , ∠N = 47.12°
Question 27
27.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠N = 109.47° , ∠O = 38.94° , ∠P = 31.59°
  • (ii)
    ∠N = 73.62° , ∠O = 56.25° , ∠P = 50.13°
  • (iii)
    ∠N = 45° , ∠O = 90° , ∠P = 45°
  • (iv)
    ∠N = 47.73° , ∠O = 90° , ∠P = 42.27°
  • (v)
    ∠N = 68.49° , ∠O = 68.49° , ∠P = 43.02°
Question 28
28.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠P = 85.98° , ∠Q = 47.01° , ∠R = 47.01°
  • (ii)
    ∠P = 60° , ∠Q = 60° , ∠R = 60°
  • (iii)
    ∠P = 55.3° , ∠Q = 48.37° , ∠R = 76.33°
  • (iv)
    ∠P = 45° , ∠Q = 90° , ∠R = 45°
  • (v)
    ∠P = 47.29° , ∠Q = 90° , ∠R = 42.71°
Question 29
29.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠N = 49.4° , ∠O = 90° , ∠P = 40.6°
  • (ii)
    ∠N = 71.38° , ∠O = 54.31° , ∠P = 54.31°
  • (iii)
    ∠N = 60° , ∠O = 60° , ∠P = 60°
  • (iv)
    ∠N = 52.26° , ∠O = 46.46° , ∠P = 81.28°
  • (v)
    ∠N = 68.68° , ∠O = 59.3° , ∠P = 52.02°
Question 30
30.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠E = 45° , ∠F = 90° , ∠G = 45°
  • (ii)
    ∠E = 71.79° , ∠F = 61.26° , ∠G = 46.95°
  • (iii)
    ∠E = 60° , ∠F = 60° , ∠G = 60°
  • (iv)
    ∠E = 47.16° , ∠F = 66.42° , ∠G = 66.42°
  • (v)
    ∠E = 50.06° , ∠F = 64.97° , ∠G = 64.97°
Question 31
31.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠H = 52.26° , ∠I = 46.46° , ∠J = 81.28°
  • (ii)
    ∠H = 125.43° , ∠I = 28.38° , ∠J = 26.19°
  • (iii)
    ∠H = 60° , ∠I = 60° , ∠J = 60°
  • (iv)
    ∠H = 45.57° , ∠I = 88.86° , ∠J = 45.57°
  • (v)
    ∠H = 42.51° , ∠I = 90° , ∠J = 47.49°
Question 32
32.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠E = 60° , ∠F = 60° , ∠G = 60°
  • (ii)
    ∠E = 57.2° , ∠F = 57.2° , ∠G = 65.6°
  • (iii)
    ∠E = 93.58° , ∠F = 47.34° , ∠G = 39.08°
  • (iv)
    ∠E = 45° , ∠F = 90° , ∠G = 45°
  • (v)
    ∠E = 75.31° , ∠F = 40.16° , ∠G = 64.53°
Question 33
33.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠I = 45° , ∠J = 90° , ∠K = 45°
  • (ii)
    ∠I = 47.12° , ∠J = 90° , ∠K = 42.88°
  • (iii)
    ∠I = 99.42° , ∠J = 47.72° , ∠K = 32.86°
  • (iv)
    ∠I = 112.75° , ∠J = 41.2° , ∠K = 26.05°
  • (v)
    ∠I = 56.94° , ∠J = 66.12° , ∠K = 56.94°
Question 34
34.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠G = 92.02° , ∠H = 41.78° , ∠I = 46.2°
  • (ii)
    ∠G = 52.43° , ∠H = 90° , ∠I = 37.57°
  • (iii)
    ∠G = 53.13° , ∠H = 59.49° , ∠I = 67.38°
  • (iv)
    ∠G = 45° , ∠H = 90° , ∠I = 45°
  • (v)
    ∠G = 54.31° , ∠H = 71.38° , ∠I = 54.31°
Question 35
35.
Find the measures of the three sides suitable to form a triangle?
  • (i)
    GH = 10 cm , HI = 15 cm , IG = 12 cm
  • (ii)
    GH = 6 cm , HI = 10 cm , IG = 18 cm
  • (iii)
    GH = 20 cm , HI = 11 cm , IG = 5 cm
  • (iv)
    GH = 6 cm , HI = 5 cm , IG = 18 cm
  • (v)
    GH = 20 cm , HI = 7 cm , IG = 5 cm
Question 36
36.
Find the measures of the three angles suitable to form a triangle?
  • (i)
    ∠O = 61.28° , ∠P = 48.74° , ∠Q = 69.98°
  • (ii)
    ∠O = 117.60° , ∠P = 54.40° , ∠Q = 109.60°
  • (iii)
    ∠O = 33.10° , ∠P = 85.80° , ∠Q = 58.80°
  • (iv)
    ∠O = 72.70° , ∠P = 52.30° , ∠Q = 43.90°
  • (v)
    ∠O = 67.20° , ∠P = 102.70° , ∠Q = 63.70°
    Assignment Key

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