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ICSE Grade VIII - Triangles
Question
1
1.
The angles of a triangle ABC are in the ratio 4 : 3 : 11. Find the measure of each angle of the triangle
A
=
42°
,
B
=
30°
,
C
=
108°
A
=
38°
,
B
=
30°
,
C
=
112°
A
=
38°
,
B
=
32°
,
C
=
110°
A
=
40°
,
B
=
30°
,
C
=
110°
A
=
40°
,
B
=
28°
,
C
=
112°
Question
2
2.
Which of the following are measures of an isosceles triangle ?
JK = 15 cm , KL = 13 cm , LJ = 10 cm
JK = 13 cm , KL = 15 cm , LJ = 13 cm
JK = 14 cm , KL = 13 cm , LJ = 11 cm
JK = 11 cm , KL = 15 cm , LJ = 18.6 cm
JK = 15 cm , KL = 15 cm , LJ = 15 cm
Question
3
3.
Which of the following are measures of an obtuse angled triangle ?
∠K = 45° , ∠L = 90° , ∠M = 45°
∠K = 62.72° , ∠L = 54.56° , ∠M = 62.72°
∠K = 60° , ∠L = 60° , ∠M = 60°
∠K = 49.4° , ∠L = 90° , ∠M = 40.6°
∠K = 132.84° , ∠L = 18.59° , ∠M = 28.57°
Question
4
4.
Find the unknown marked angle in the following figure
x
=
67.31°
x
=
66.31°
x
=
65.31°
x
=
64.31°
x
=
63.31°
Question
5
5.
Identify the property by which the two given triangles are congruent
RHS Congruency
SAS Congruency
ASA Congruency
SSS Congruency
Question
6
6.
Which of the following are measures of a right angled triangle ?
LM = 10 cm , MN = 10 cm , NL = 10 cm
LM = 15 cm , MN = 15 cm , NL = 10 cm
LM = 15 cm , MN = 12 cm , NL = 19.21 cm
LM = 12 cm , MN = 19 cm , NL = 14 cm
LM = 12 cm , MN = 10 cm , NL = 15 cm
Question
7
7.
Which of the following are measures of a scalene triangle ?
∠A = 60° , ∠B = 60° , ∠C = 60°
∠A = 52.89° , ∠B = 41.65° , ∠C = 85.46°
∠A = 71.38° , ∠B = 54.31° , ∠C = 54.31°
∠A = 65.6° , ∠B = 57.2° , ∠C = 57.2°
∠A = 45° , ∠B = 90° , ∠C = 45°
Question
8
8.
Which of the following are measures of a scalene triangle ?
∠B = 60° , ∠C = 60° , ∠D = 60°
∠B = 66.12° , ∠C = 56.94° , ∠D = 56.94°
∠B = 45° , ∠C = 90° , ∠D = 45°
∠B = 47.16° , ∠C = 66.42° , ∠D = 66.42°
∠B = 51.32° , ∠C = 69.51° , ∠D = 59.17°
Question
9
9.
The point of intersection of the altitudes of a triangle is called
excentre
orthocentre
altitude
centroid
median
Question
10
10.
In the given figure, which of the following is true?
△ABC ≅ △UST
△ABC ≅ △UTS
△BCA ≅ △STU
△ABC ≅ △STU
△ABC ≅ △TUS
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