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Published on: 28/08/2019
The Triangle and Its Properties
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Questions + Answers key
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1.
The exterior angle of a triangle is 120° and one of its interior opposite angle is 70°. Find the measure of its other interior opposite angle?
90°
50°
60°
100°
2.
Angles of a triangle are in the ratio 1 : 2 : 3. The smallest angle is :
15°
90°
60°
30°
3.
In a \(\triangle ABC\) if \(\angle A=60^0\) and \(\angle B=30^0\) then the exterior angle formed by producing BC is equal to
180°
99°
90°
105°
4.
The perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm, is
42 cm
49 cm
89 cm
98 cm
5.
The sides of a triangle have length (in cm) 10, 6.5 and a, where a is a whole number. The minimum value that a can take is
6
5
3
4
6.
Two angles are said to be _______, if they have equal measures.
7.
Two line segments are congruent, if they are of ________ lengths.
8.
Every triangle has at least _________ acute angle (s).
9.
If one angle of a triangle is equal to the sum of other two, then the measure of that angle is_____________.
10.
Measures of each of the angles of an equilateral triangle is____________.
11.
The difference between the length of any two sides of a triangle is smaller than the length of third side.
12.
It is possible to have a triangle in which each angle is less than 60°.
13.
It is possible to have a right angled equilateral triangle.
14.
Sum of the measures of three angles of a triangle is greater than 180°.
15.
Sum of any two angles of triangle is always greater than the third angle.
16.
An exterior angle of a triangle is 100°, then its adjacent interior angle is:
17.
In a \(\triangle\)ABC, LA = 100°, \(\angle\)B = 15°. The measure of \(\angle\)C is:
18.
In a right angled triangle, one of the acute angle is 25°, The measure of the other acute angle is
19.
Sum of two angles of a triangle is 145°, The measure of third angle is
20.
If an exterior angle of a triangle is 120°, then its adjacent interior angle is
21.
What do we call a triangle whose each angle is 60°?
22.
How many right angles does a right triangle has?
23.
What is the name of side opposite to the angle 90° in a right angles triangle?
24.
If two angles of a triangles are equal and the third angle measures 110°, then find the measure of each angle.
25.
Find the angles of a triangle which are in the ratio 2: 3: 5.
1.
(b)
50°
2.
(d)
30°
3.
(c)
90°
4.
(d)
98 cm
5.
(d)
4
6.
( )
Equal/coiners
7.
( )
Equal/same
8.
( )
Two
9.
( )
90°
10.
( )
60°
11.
(a)
12.
(b)
13.
(b)
14.
(b)
15.
(b)
16.
( )
80o
17.
( )
65°
18.
( )
65°
19.
( )
35°
20.
( )
60°
21.
( )
Equilateral
22.
( )
One.
23.
( )
Hypotenuse.
24.
( )
Let the angles be 110,x, x.
\(\therefore\) x + x + 110° = 180°
\(\Rightarrow\) 2x = 180°- 110°
\(\Rightarrow\) 2x = 70°
\(\Rightarrow\) x = 35°
25.
( )
Let the angles be 2x, 3x and 5x
\(\therefore\)2x + 3x + 5x = 180°
\(\Rightarrow\) 10x = 180°
\(\Rightarrow\) x = 18°
Angles are 36, 54, 90.
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