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)
KL = 13 cm , LM = 10 cm , MK = 16.4 cm
(ii)
KL = 15 cm , LM = 10 cm , MK = 11 cm
(iii)
KL = 12 cm , LM = 12 cm , MK = 12 cm
(iv)
KL = 13 cm , LM = 14 cm , MK = 13 cm
(v)
KL = 10 cm , LM = 10 cm , MK = 14.14 cm
Question
2
2.
Which of the following are measures of an isosceles triangle ?
(i)
IJ = 14 cm , JK = 11 cm , KI = 14 cm
(ii)
IJ = 13 cm , JK = 11 cm , KI = 17.03 cm
(iii)
IJ = 12 cm , JK = 15 cm , KI = 11 cm
(iv)
IJ = 14 cm , JK = 12 cm , KI = 11 cm
(v)
IJ = 13 cm , JK = 13 cm , KI = 13 cm
Question
3
3.
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 = 13 cm , MK = 12 cm
(iii)
KL = 14 cm , LM = 13 cm , MK = 10 cm
(iv)
KL = 14 cm , LM = 14 cm , MK = 19.8 cm
(v)
KL = 15 cm , LM = 12 cm , MK = 15 cm
Question
4
4.
Which of the following are measures of a right angled triangle ?
(i)
CD = 15 cm , DE = 11 cm , EC = 18.6 cm
(ii)
CD = 13 cm , DE = 13 cm , EC = 14 cm
(iii)
CD = 10 cm , DE = 10 cm , EC = 10 cm
(iv)
CD = 15 cm , DE = 20 cm , EC = 10 cm
(v)
CD = 15 cm , DE = 13 cm , EC = 12 cm
Question
5
5.
Which of the following are measures of an isosceles right angled triangle ?
(i)
GH = 14 cm , HI = 15 cm , IG = 13 cm
(ii)
GH = 15 cm , HI = 15 cm , IG = 15 cm
(iii)
GH = 13 cm , HI = 21 cm , IG = 12 cm
(iv)
GH = 12 cm , HI = 12 cm , IG = 16.97 cm
(v)
GH = 12 cm , HI = 15 cm , IG = 11 cm
Question
6
6.
Which of the following are measures of an acute angled triangle ?
(i)
OP = 11 cm , PQ = 11 cm , QO = 15.56 cm
(ii)
OP = 12 cm , PQ = 12 cm , QO = 13 cm
(iii)
OP = 11 cm , PQ = 17 cm , QO = 12 cm
(iv)
OP = 11 cm , PQ = 18 cm , QO = 14 cm
(v)
OP = 14 cm , PQ = 15 cm , QO = 20.52 cm
Question
7
7.
Which of the following are measures of an obtuse angled triangle ?
(i)
GH = 14 cm , HI = 21 cm , IG = 12 cm
(ii)
GH = 13 cm , HI = 13 cm , IG = 18.38 cm
(iii)
GH = 13 cm , HI = 15 cm , IG = 13 cm
(iv)
GH = 10 cm , HI = 11 cm , IG = 14 cm
(v)
GH = 10 cm , HI = 12 cm , IG = 15.62 cm
Question
8
8.
Which of the following are measures of an equilateral triangle ?
(i)
∠L = 45° , ∠M = 90° , ∠N = 45°
(ii)
∠L = 49.4° , ∠M = 90° , ∠N = 40.6°
(iii)
∠L = 47.16° , ∠M = 66.42° , ∠N = 66.42°
(iv)
∠L = 80.25° , ∠M = 41.08° , ∠N = 58.67°
(v)
∠L = 60° , ∠M = 60° , ∠N = 60°
Question
9
9.
Which of the following are measures of an isosceles triangle ?
(i)
∠L = 69.98° , ∠M = 61.28° , ∠N = 48.74°
(ii)
∠L = 66.12° , ∠M = 56.94° , ∠N = 56.94°
(iii)
∠L = 49.4° , ∠M = 90° , ∠N = 40.6°
(iv)
∠L = 60° , ∠M = 60° , ∠N = 60°
(v)
∠L = 41.8° , ∠M = 91.04° , ∠N = 47.16°
Question
10
10.
Which of the following are measures of a scalene triangle ?
(i)
∠G = 65.6° , ∠H = 57.2° , ∠I = 57.2°
(ii)
∠G = 60° , ∠H = 60° , ∠I = 60°
(iii)
∠G = 45° , ∠H = 90° , ∠I = 45°
(iv)
∠G = 51.32° , ∠H = 69.51° , ∠I = 59.17°
(v)
∠G = 46.26° , ∠H = 66.87° , ∠I = 66.87°
Question
11
11.
Which of the following are measures of a right angled triangle ?
(i)
∠G = 52.43° , ∠H = 90° , ∠I = 37.57°
(ii)
∠G = 47.91° , ∠H = 70.81° , ∠I = 61.28°
(iii)
∠G = 92.61° , ∠H = 35.33° , ∠I = 52.06°
(iv)
∠G = 61.28° , ∠H = 70.81° , ∠I = 47.91°
(v)
∠G = 60° , ∠H = 60° , ∠I = 60°
Question
12
12.
Which of the following are measures of an isosceles right angled triangle ?
(i)
∠N = 60° , ∠O = 60° , ∠P = 60°
(ii)
∠N = 45° , ∠O = 90° , ∠P = 45°
(iii)
∠N = 93.9° , ∠O = 43.05° , ∠P = 43.05°
(iv)
∠N = 71.79° , ∠O = 61.26° , ∠P = 46.95°
(v)
∠N = 52.02° , ∠O = 59.3° , ∠P = 68.68°
Question
13
13.
Which of the following are measures of an acute angled triangle ?
(i)
∠M = 76.33° , ∠N = 55.3° , ∠O = 48.37°
(ii)
∠M = 45° , ∠N = 90° , ∠O = 45°
(iii)
∠M = 96.92° , ∠N = 45.16° , ∠O = 37.92°
(iv)
∠M = 134.18° , ∠N = 26.63° , ∠O = 19.19°
(v)
∠M = 33.69° , ∠N = 90° , ∠O = 56.31°
Question
14
14.
Which of the following are measures of an obtuse angled triangle ?
(i)
∠O = 45° , ∠P = 90° , ∠Q = 45°
(ii)
∠O = 67.38° , ∠P = 45.24° , ∠Q = 67.38°
(iii)
∠O = 62.72° , ∠P = 54.56° , ∠Q = 62.72°
(iv)
∠O = 118° , ∠P = 31° , ∠Q = 31°
(v)
∠O = 42.88° , ∠P = 90° , ∠Q = 47.12°
Question
15
15.
Which of the following are measures of an equilateral triangle ?
(i)
AB = 11 cm , BC = 14 cm , CA = 11 cm
(ii)
AB = 13 cm , BC = 12 cm , CA = 17.69 cm
(iii)
AB = 13 cm , BC = 13 cm , CA = 18.38 cm
(iv)
AB = 14 cm , BC = 15 cm , CA = 13 cm
(v)
AB = 12 cm , BC = 12 cm , CA = 12 cm
Question
16
16.
Which of the following are measures of an isosceles triangle ?
(i)
PQ = 12 cm , QR = 12 cm , RP = 12 cm
(ii)
PQ = 10 cm , QR = 13 cm , RP = 16.4 cm
(iii)
PQ = 14 cm , QR = 10 cm , RP = 13 cm
(iv)
PQ = 12 cm , QR = 14 cm , RP = 15 cm
(v)
PQ = 12 cm , QR = 11 cm , RP = 12 cm
Question
17
17.
Which of the following are measures of a scalene triangle ?
(i)
KL = 10 cm , LM = 10 cm , MK = 10 cm
(ii)
KL = 12 cm , LM = 14 cm , MK = 12 cm
(iii)
KL = 11 cm , LM = 11 cm , MK = 15.56 cm
(iv)
KL = 13 cm , LM = 15 cm , MK = 13 cm
(v)
KL = 14 cm , LM = 12 cm , MK = 10 cm
Question
18
18.
Which of the following are measures of a right angled triangle ?
(i)
PQ = 13 cm , QR = 11 cm , RP = 12 cm
(ii)
PQ = 13 cm , QR = 19 cm , RP = 11 cm
(iii)
PQ = 14 cm , QR = 14 cm , RP = 14 cm
(iv)
PQ = 14 cm , QR = 11 cm , RP = 17.8 cm
(v)
PQ = 11 cm , QR = 15 cm , RP = 14 cm
Question
19
19.
Which of the following are measures of an isosceles right angled triangle ?
(i)
BC = 14 cm , CD = 14 cm , DB = 14 cm
(ii)
BC = 12 cm , CD = 15 cm , DB = 13 cm
(iii)
BC = 15 cm , CD = 22 cm , DB = 15 cm
(iv)
BC = 15 cm , CD = 13 cm , DB = 12 cm
(v)
BC = 14 cm , CD = 14 cm , DB = 19.8 cm
Question
20
20.
Which of the following are measures of an acute angled triangle ?
(i)
BC = 14 cm , CD = 11 cm , DB = 17.8 cm
(ii)
BC = 11 cm , CD = 12 cm , DB = 10 cm
(iii)
BC = 13 cm , CD = 23 cm , DB = 15 cm
(iv)
BC = 10 cm , CD = 10 cm , DB = 14.14 cm
(v)
BC = 15 cm , CD = 23 cm , DB = 13 cm
Question
21
21.
Which of the following are measures of an obtuse angled triangle ?
(i)
KL = 13 cm , LM = 13 cm , MK = 18.38 cm
(ii)
KL = 11 cm , LM = 14 cm , MK = 12 cm
(iii)
KL = 12 cm , LM = 18 cm , MK = 11 cm
(iv)
KL = 10 cm , LM = 12 cm , MK = 13 cm
(v)
KL = 15 cm , LM = 12 cm , MK = 19.21 cm
Question
22
22.
Which of the following are measures of an equilateral triangle ?
(i)
∠D = 37.57° , ∠E = 90° , ∠F = 52.43°
(ii)
∠D = 45° , ∠E = 90° , ∠F = 45°
(iii)
∠D = 45.24° , ∠E = 67.38° , ∠F = 67.38°
(iv)
∠D = 60° , ∠E = 60° , ∠F = 60°
(v)
∠D = 61.26° , ∠E = 46.95° , ∠F = 71.79°
Question
23
23.
Which of the following are measures of an isosceles triangle ?
(i)
∠P = 42.27° , ∠Q = 90° , ∠R = 47.73°
(ii)
∠P = 81.28° , ∠Q = 52.26° , ∠R = 46.46°
(iii)
∠P = 58.67° , ∠Q = 41.08° , ∠R = 80.25°
(iv)
∠P = 50.06° , ∠Q = 64.97° , ∠R = 64.97°
(v)
∠P = 60° , ∠Q = 60° , ∠R = 60°
Question
24
24.
Which of the following are measures of a scalene triangle ?
(i)
∠B = 45° , ∠C = 90° , ∠D = 45°
(ii)
∠B = 66.12° , ∠C = 56.94° , ∠D = 56.94°
(iii)
∠B = 45.24° , ∠C = 67.38° , ∠D = 67.38°
(iv)
∠B = 60° , ∠C = 60° , ∠D = 60°
(v)
∠B = 51.32° , ∠C = 45.21° , ∠D = 83.47°
Question
25
25.
Which of the following are measures of a right angled triangle ?
(i)
∠I = 41.8° , ∠J = 91.04° , ∠K = 47.16°
(ii)
∠I = 100.12° , ∠J = 39.94° , ∠K = 39.94°
(iii)
∠I = 47.49° , ∠J = 90° , ∠K = 42.51°
(iv)
∠I = 60° , ∠J = 60° , ∠K = 60°
(v)
∠I = 45.57° , ∠J = 57.56° , ∠K = 76.87°
Question
26
26.
Which of the following are measures of an isosceles right angled triangle ?
(i)
∠F = 60° , ∠G = 60° , ∠H = 60°
(ii)
∠F = 52.62° , ∠G = 59.41° , ∠H = 67.97°
(iii)
∠F = 91.3° , ∠G = 51.04° , ∠H = 37.66°
(iv)
∠F = 72.62° , ∠G = 62.96° , ∠H = 44.42°
(v)
∠F = 45° , ∠G = 90° , ∠H = 45°
Question
27
27.
Which of the following are measures of an acute angled triangle ?
(i)
∠J = 38.94° , ∠K = 70.53° , ∠L = 70.53°
(ii)
∠J = 45° , ∠K = 90° , ∠L = 45°
(iii)
∠J = 35.54° , ∠K = 90° , ∠L = 54.46°
(iv)
∠J = 94.34° , ∠K = 42.83° , ∠L = 42.83°
(v)
∠J = 102.91° , ∠K = 40.53° , ∠L = 36.56°
Question
28
28.
Which of the following are measures of an obtuse angled triangle ?
(i)
∠F = 62.18° , ∠G = 55.64° , ∠H = 62.18°
(ii)
∠F = 91.3° , ∠G = 51.04° , ∠H = 37.66°
(iii)
∠F = 50.48° , ∠G = 50.48° , ∠H = 79.04°
(iv)
∠F = 42.88° , ∠G = 90° , ∠H = 47.12°
(v)
∠F = 45° , ∠G = 90° , ∠H = 45°
Question
29
29.
Find the measures of the three sides suitable to form a triangle?
(i)
NO = 12 cm , OP = 14 cm , PN = 10 cm
(ii)
NO = 17 cm , OP = 9 cm , PN = 5 cm
(iii)
NO = 7 cm , OP = 5 cm , PN = 16 cm
(iv)
NO = 20 cm , OP = 13 cm , PN = 5 cm
(v)
NO = 5 cm , OP = 18 cm , PN = 10 cm
Question
30
30.
Find the measures of the three angles suitable to form a triangle?
(i)
∠A = 90.40° , ∠B = 104.90° , ∠C = 81.60°
(ii)
∠A = 115.10° , ∠B = 103.50° , ∠C = 87.80°
(iii)
∠A = 54.07° , ∠B = 62.97° , ∠C = 62.96°
(iv)
∠A = 30.20° , ∠B = 72.60° , ∠C = 65.90°
(v)
∠A = 59.70° , ∠B = 107.20° , ∠C = 41.60°
Assignment Key
1) (iii)
2) (i)
3) (iii)
4) (i)
5) (iv)
6) (ii)
7) (i)
8) (v)
9) (ii)
10) (iv)
11) (i)
12) (ii)
13) (i)
14) (iv)
15) (v)
16) (v)
17) (v)
18) (iv)
19) (v)
20) (ii)
21) (iii)
22) (iv)
23) (iv)
24) (v)
25) (iii)
26) (v)
27) (i)
28) (ii)
29) (i)
30) (iii)
