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)
    IJ = 15 cm , JK = 13 cm , KI = 10 cm
  • (ii)
    IJ = 10 cm , JK = 10 cm , KI = 14.14 cm
  • (iii)
    IJ = 11 cm , JK = 14 cm , KI = 11 cm
  • (iv)
    IJ = 14 cm , JK = 14 cm , KI = 14 cm
  • (v)
    IJ = 14 cm , JK = 15 cm , KI = 20.52 cm
Question 2
2.
Which of the following are measures of an isosceles triangle ?
  • (i)
    JK = 15 cm , KL = 13 cm , LJ = 12 cm
  • (ii)
    JK = 10 cm , KL = 10 cm , LJ = 10 cm
  • (iii)
    JK = 15 cm , KL = 10 cm , LJ = 12 cm
  • (iv)
    JK = 10 cm , KL = 13 cm , LJ = 10 cm
  • (v)
    JK = 11 cm , KL = 12 cm , LJ = 16.28 cm
Question 3
3.
Which of the following are measures of a scalene triangle ?
  • (i)
    MN = 15 cm , NO = 15 cm , OM = 15 cm
  • (ii)
    MN = 14 cm , NO = 11 cm , OM = 14 cm
  • (iii)
    MN = 12 cm , NO = 12 cm , OM = 16.97 cm
  • (iv)
    MN = 14 cm , NO = 12 cm , OM = 13 cm
  • (v)
    MN = 14 cm , NO = 15 cm , OM = 14 cm
Question 4
4.
Which of the following are measures of a right angled triangle ?
  • (i)
    CD = 14 cm , DE = 12 cm , EC = 10 cm
  • (ii)
    CD = 11 cm , DE = 20 cm , EC = 13 cm
  • (iii)
    CD = 10 cm , DE = 10 cm , EC = 10 cm
  • (iv)
    CD = 10 cm , DE = 13 cm , EC = 16.4 cm
  • (v)
    CD = 11 cm , DE = 14 cm , EC = 12 cm
Question 5
5.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    NO = 14 cm , OP = 14 cm , PN = 19.8 cm
  • (ii)
    NO = 14 cm , OP = 19 cm , PN = 11 cm
  • (iii)
    NO = 15 cm , OP = 13 cm , PN = 14 cm
  • (iv)
    NO = 10 cm , OP = 15 cm , PN = 12 cm
  • (v)
    NO = 12 cm , OP = 12 cm , PN = 12 cm
Question 6
6.
Which of the following are measures of an acute angled triangle ?
  • (i)
    MN = 13 cm , NO = 12 cm , OM = 10 cm
  • (ii)
    MN = 14 cm , NO = 19 cm , OM = 12 cm
  • (iii)
    MN = 13 cm , NO = 11 cm , OM = 17.03 cm
  • (iv)
    MN = 11 cm , NO = 11 cm , OM = 15.56 cm
  • (v)
    MN = 12 cm , NO = 23 cm , OM = 14 cm
Question 7
7.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    BC = 13 cm , CD = 12 cm , DB = 17.69 cm
  • (ii)
    BC = 15 cm , CD = 12 cm , DB = 10 cm
  • (iii)
    BC = 11 cm , CD = 20 cm , DB = 11 cm
  • (iv)
    BC = 14 cm , CD = 13 cm , DB = 10 cm
  • (v)
    BC = 13 cm , CD = 13 cm , DB = 18.38 cm
Question 8
8.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠G = 60° , ∠H = 60° , ∠I = 60°
  • (ii)
    ∠G = 38.94° , ∠H = 70.53° , ∠I = 70.53°
  • (iii)
    ∠G = 47.91° , ∠H = 70.81° , ∠I = 61.28°
  • (iv)
    ∠G = 39.81° , ∠H = 90° , ∠I = 50.19°
  • (v)
    ∠G = 45° , ∠H = 90° , ∠I = 45°
Question 9
9.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠G = 60° , ∠H = 60° , ∠I = 60°
  • (ii)
    ∠G = 58.67° , ∠H = 80.25° , ∠I = 41.08°
  • (iii)
    ∠G = 42.71° , ∠H = 90° , ∠I = 47.29°
  • (iv)
    ∠G = 47.16° , ∠H = 41.8° , ∠I = 91.04°
  • (v)
    ∠G = 97.18° , ∠H = 41.41° , ∠I = 41.41°
Question 10
10.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠I = 45° , ∠J = 90° , ∠K = 45°
  • (ii)
    ∠I = 60° , ∠J = 60° , ∠K = 60°
  • (iii)
    ∠I = 75.31° , ∠J = 40.16° , ∠K = 64.53°
  • (iv)
    ∠I = 70.46° , ∠J = 54.77° , ∠K = 54.77°
  • (v)
    ∠I = 79.04° , ∠J = 50.48° , ∠K = 50.48°
Question 11
11.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠C = 94.94° , ∠D = 36.71° , ∠E = 48.35°
  • (ii)
    ∠C = 51.32° , ∠D = 45.21° , ∠E = 83.47°
  • (iii)
    ∠C = 51.34° , ∠D = 90° , ∠E = 38.66°
  • (iv)
    ∠C = 68.68° , ∠D = 59.3° , ∠E = 52.02°
  • (v)
    ∠C = 60° , ∠D = 60° , ∠E = 60°
Question 12
12.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠O = 45° , ∠P = 90° , ∠Q = 45°
  • (ii)
    ∠O = 60° , ∠P = 60° , ∠Q = 60°
  • (iii)
    ∠O = 132.72° , ∠P = 21.55° , ∠Q = 25.73°
  • (iv)
    ∠O = 52.26° , ∠P = 81.28° , ∠Q = 46.46°
Question 13
13.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠P = 71.38° , ∠Q = 54.31° , ∠R = 54.31°
  • (ii)
    ∠P = 109.08° , ∠Q = 36.97° , ∠R = 33.95°
  • (iii)
    ∠P = 133.5° , ∠Q = 26.2° , ∠R = 20.3°
  • (iv)
    ∠P = 45° , ∠Q = 90° , ∠R = 45°
  • (v)
    ∠P = 56.31° , ∠Q = 90° , ∠R = 33.69°
Question 14
14.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠H = 131.81° , ∠I = 25.21° , ∠J = 22.98°
  • (ii)
    ∠H = 57.42° , ∠I = 65.16° , ∠J = 57.42°
  • (iii)
    ∠H = 52.43° , ∠I = 90° , ∠J = 37.57°
  • (iv)
    ∠H = 45° , ∠I = 90° , ∠J = 45°
  • (v)
    ∠H = 69.98° , ∠I = 61.28° , ∠J = 48.74°
Question 15
15.
Which of the following are measures of an equilateral triangle ?
  • (i)
    AB = 12 cm , BC = 14 cm , CA = 12 cm
  • (ii)
    AB = 11 cm , BC = 10 cm , CA = 15 cm
  • (iii)
    AB = 10 cm , BC = 12 cm , CA = 15.62 cm
  • (iv)
    AB = 10 cm , BC = 10 cm , CA = 10 cm
  • (v)
    AB = 15 cm , BC = 15 cm , CA = 21.21 cm
Question 16
16.
Which of the following are measures of an isosceles triangle ?
  • (i)
    BC = 15 cm , CD = 12 cm , DB = 15 cm
  • (ii)
    BC = 13 cm , CD = 11 cm , DB = 12 cm
  • (iii)
    BC = 14 cm , CD = 15 cm , DB = 11 cm
  • (iv)
    BC = 12 cm , CD = 14 cm , DB = 18.44 cm
  • (v)
    BC = 15 cm , CD = 15 cm , DB = 15 cm
Question 17
17.
Which of the following are measures of a scalene triangle ?
  • (i)
    PQ = 10 cm , QR = 12 cm , RP = 14 cm
  • (ii)
    PQ = 13 cm , QR = 13 cm , RP = 18.38 cm
  • (iii)
    PQ = 13 cm , QR = 15 cm , RP = 13 cm
  • (iv)
    PQ = 13 cm , QR = 14 cm , RP = 13 cm
  • (v)
    PQ = 15 cm , QR = 15 cm , RP = 15 cm
Question 18
18.
Which of the following are measures of a right angled triangle ?
  • (i)
    HI = 14 cm , IJ = 15 cm , JH = 20.52 cm
  • (ii)
    HI = 13 cm , IJ = 14 cm , JH = 15 cm
  • (iii)
    HI = 11 cm , IJ = 11 cm , JH = 11 cm
  • (iv)
    HI = 12 cm , IJ = 16 cm , JH = 10 cm
Question 19
19.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    IJ = 12 cm , JK = 10 cm , KI = 13 cm
  • (ii)
    IJ = 13 cm , JK = 13 cm , KI = 13 cm
  • (iii)
    IJ = 15 cm , JK = 11 cm , KI = 12 cm
  • (iv)
    IJ = 12 cm , JK = 12 cm , KI = 16.97 cm
  • (v)
    IJ = 13 cm , JK = 21 cm , KI = 11 cm
Question 20
20.
Which of the following are measures of an acute angled triangle ?
  • (i)
    MN = 12 cm , NO = 17 cm , OM = 11 cm
  • (ii)
    MN = 15 cm , NO = 15 cm , OM = 21.21 cm
  • (iii)
    MN = 11 cm , NO = 15 cm , OM = 18.6 cm
  • (iv)
    MN = 15 cm , NO = 14 cm , OM = 11 cm
  • (v)
    MN = 12 cm , NO = 19 cm , OM = 14 cm
Question 21
21.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    AB = 13 cm , BC = 15 cm , CA = 19.85 cm
  • (ii)
    AB = 14 cm , BC = 14 cm , CA = 19.8 cm
  • (iii)
    AB = 10 cm , BC = 16 cm , CA = 10 cm
  • (iv)
    AB = 14 cm , BC = 10 cm , CA = 12 cm
  • (v)
    AB = 11 cm , BC = 10 cm , CA = 10 cm
Question 22
22.
Which of the following are measures of an equilateral triangle ?
  • (i)
    ∠N = 71.38° , ∠O = 54.31° , ∠P = 54.31°
  • (ii)
    ∠N = 47.49° , ∠O = 90° , ∠P = 42.51°
  • (iii)
    ∠N = 60° , ∠O = 60° , ∠P = 60°
  • (iv)
    ∠N = 45° , ∠O = 90° , ∠P = 45°
  • (v)
    ∠N = 40.16° , ∠O = 64.53° , ∠P = 75.31°
Question 23
23.
Which of the following are measures of an isosceles triangle ?
  • (i)
    ∠L = 85.46° , ∠M = 52.89° , ∠N = 41.65°
  • (ii)
    ∠L = 60° , ∠M = 60° , ∠N = 60°
  • (iii)
    ∠L = 51.84° , ∠M = 90° , ∠N = 38.16°
  • (iv)
    ∠L = 76.87° , ∠M = 45.57° , ∠N = 57.56°
  • (v)
    ∠L = 46.26° , ∠M = 66.87° , ∠N = 66.87°
Question 24
24.
Which of the following are measures of a scalene triangle ?
  • (i)
    ∠B = 60° , ∠C = 60° , ∠D = 60°
  • (ii)
    ∠B = 85.46° , ∠C = 52.89° , ∠D = 41.65°
  • (iii)
    ∠B = 45° , ∠C = 90° , ∠D = 45°
  • (iv)
    ∠B = 85.98° , ∠C = 47.01° , ∠D = 47.01°
  • (v)
    ∠B = 73.74° , ∠C = 53.13° , ∠D = 53.13°
Question 25
25.
Which of the following are measures of a right angled triangle ?
  • (i)
    ∠A = 60° , ∠B = 60° , ∠C = 60°
  • (ii)
    ∠A = 47.73° , ∠B = 90° , ∠C = 42.27°
  • (iii)
    ∠A = 64.32° , ∠B = 51.36° , ∠C = 64.32°
  • (iv)
    ∠A = 115.37° , ∠B = 29.53° , ∠C = 35.1°
  • (v)
    ∠A = 85.46° , ∠B = 52.89° , ∠C = 41.65°
Question 26
26.
Which of the following are measures of an isosceles right angled triangle ?
  • (i)
    ∠B = 48.37° , ∠C = 55.3° , ∠D = 76.33°
  • (ii)
    ∠B = 60° , ∠C = 60° , ∠D = 60°
  • (iii)
    ∠B = 119.46° , ∠C = 30.27° , ∠D = 30.27°
  • (iv)
    ∠B = 57.56° , ∠C = 76.87° , ∠D = 45.57°
  • (v)
    ∠B = 45° , ∠C = 90° , ∠D = 45°
Question 27
27.
Which of the following are measures of an acute angled triangle ?
  • (i)
    ∠C = 98.63° , ∠D = 42.38° , ∠E = 38.99°
  • (ii)
    ∠C = 42.51° , ∠D = 90° , ∠E = 47.49°
  • (iii)
    ∠C = 67.38° , ∠D = 67.38° , ∠E = 45.24°
  • (iv)
    ∠C = 134.18° , ∠D = 26.63° , ∠E = 19.19°
  • (v)
    ∠C = 45° , ∠D = 90° , ∠E = 45°
Question 28
28.
Which of the following are measures of an obtuse angled triangle ?
  • (i)
    ∠F = 50.75° , ∠G = 64.63° , ∠H = 64.62°
  • (ii)
    ∠F = 45° , ∠G = 90° , ∠H = 45°
  • (iii)
    ∠F = 113.74° , ∠G = 28.65° , ∠H = 37.61°
  • (iv)
    ∠F = 49.09° , ∠G = 90° , ∠H = 40.91°
  • (v)
    ∠F = 46.95° , ∠G = 71.79° , ∠H = 61.26°
Question 29
29.
Find the measures of the three sides suitable to form a triangle?
  • (i)
    GH = 20 cm , HI = 9 cm , IG = 10 cm
  • (ii)
    GH = 15 cm , HI = 12 cm , IG = 14 cm
  • (iii)
    GH = 6 cm , HI = 8 cm , IG = 19 cm
  • (iv)
    GH = 11 cm , HI = 5 cm , IG = 19 cm
  • (v)
    GH = 19 cm , HI = 5 cm , IG = 12 cm
Question 30
30.
Find the measures of the three angles suitable to form a triangle?
  • (i)
    ∠C = 50.13° , ∠D = 73.62° , ∠E = 56.25°
  • (ii)
    ∠C = 60.40° , ∠D = 106.80° , ∠E = 38.80°
  • (iii)
    ∠C = 45.30° , ∠D = 103.30° , ∠E = 79.80°
  • (iv)
    ∠C = 106.60° , ∠D = 46.20° , ∠E = 118.10°
  • (v)
    ∠C = 74.70° , ∠D = 81.50° , ∠E = 32.40°
    Assignment Key
  •  1) (iv)
  •  2) (iv)
  •  3) (iv)
  •  4) (iv)
  •  5) (i)
  •  6) (i)
  •  7) (iii)
  •  8) (i)
  •  9) (v)
  •  10) (iii)
  •  11) (iii)
  •  12) (i)
  •  13) (i)
  •  14) (i)
  •  15) (iv)
  •  16) (i)
  •  17) (i)
  •  18) (i)
  •  19) (iv)
  •  20) (iv)
  •  21) (iii)
  •  22) (iii)
  •  23) (v)
  •  24) (ii)
  •  25) (ii)
  •  26) (v)
  •  27) (iii)
  •  28) (iii)
  •  29) (ii)
  •  30) (i)