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Class VI
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CBSE Grade VII - The Triangle and its Properties
Question
1
1.
The altitude corresponding to the side
NO
NR
NO
PS
OR
NQ
Question
2
2.
In a right-angled triangle if one of the acute angles is 27°, find the measure of the other acute angle.
64°
62°
65°
63°
61°
Question
3
3.
In the following figure, two sides of a triangle have been produced. Find all the angles of the triangle.
x
=
28°
,
y
=
70°
,
z
=
82°
x
=
28°
,
y
=
72°
,
z
=
80°
x
=
30°
,
y
=
68°
,
z
=
82°
x
=
30°
,
y
=
70°
,
z
=
80°
x
=
32°
,
y
=
70°
,
z
=
78°
Question
4
4.
Find the measures of the three sides suitable to form a triangle?
BC = 6 cm , CD = 15 cm , DB = 7 cm
BC = 17 cm , CD = 9 cm , DB = 6 cm
BC = 10 cm , CD = 12 cm , DB = 12 cm
BC = 10 cm , CD = 6 cm , DB = 17 cm
BC = 7 cm , CD = 8 cm , DB = 20 cm
Question
5
5.
Which of the following are measures of an equilateral triangle ?
IJ = 15 cm , JK = 14 cm , KI = 10 cm
IJ = 10 cm , JK = 11 cm , KI = 14.87 cm
IJ = 13 cm , JK = 13 cm , KI = 18.38 cm
IJ = 12 cm , JK = 13 cm , KI = 12 cm
IJ = 14 cm , JK = 14 cm , KI = 14 cm
Question
6
6.
Which of the following are measures of an acute angled triangle ?
∠P = 91.04° , ∠Q = 47.16° , ∠R = 41.8°
∠P = 41.85° , ∠Q = 69.07° , ∠R = 69.08°
∠P = 52.43° , ∠Q = 90° , ∠R = 37.57°
∠P = 120.25° , ∠Q = 34.16° , ∠R = 25.59°
∠P = 45° , ∠Q = 90° , ∠R = 45°
Question
7
7.
Find the unknown marked angle in the following figure
x
=
69.8°
x
=
68.8°
x
=
67.8°
x
=
66.8°
x
=
70.8°
Question
8
8.
The angles of the triangle are
∠E , ∠F , ∠H
∠D , ∠E , ∠G
∠D , ∠E , ∠F
∠E , ∠F , ∠G
∠F , ∠G , ∠H
Question
9
9.
Find the unknown angles in the following figure
C
=
38°
,
D
=
38°
C
=
39°
,
D
=
39°
C
=
35°
,
D
=
35°
C
=
36°
,
D
=
36°
C
=
37°
,
D
=
37°
Question
10
10.
In the following figure, one side of a triangle has been produced. Find the values of x and y.
x
=
45°
,
y
=
99°
x
=
43°
,
y
=
97°
x
=
44°
,
y
=
98°
x
=
46°
,
y
=
100°
x
=
47°
,
y
=
101°
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