MCQExams
0:0:1
CBSE
JEE
NTSE
NEET
Practice
Homework
×
CBSE Questions for Class 7 Maths The Triangle And Its Properties Quiz 2 - MCQExams.com
CBSE
Class 7 Maths
The Triangle And Its Properties
Quiz 2
A triangle with the sides measuring $$4$$ cm, $$5$$ cm and $$5$$ cm is called
Report Question
0%
an equilateral triangle
0%
an isosceles triangle
0%
a scalene triangle
0%
none of the above
Explanation
Given, the sides of the triangle are $$4$$ cm, $$5$$ cm and $$5$$ cm
A triangle having two equal sides is called an isosceles triangle.
Here, two sides of the triangle are $$5$$ cm and $$5$$ cm. So, it is an isosceles triangle.
So, option B is correct.
A triangle with one right angle and two acute angles is called
Report Question
0%
right angled triangle
0%
acute angled triangle
0%
equilateral triangle
0%
none of these
Explanation
A triangle with a right angle and two acute angles is called right angled triangle.
A triangle can have :
Report Question
0%
one right angle
0%
two right angles
0%
three obtuse angles
0%
none of these
Explanation
Right angled triangle is a type of a triangle where one angle is right angle.
By angle sum property, sum of angles of a triangle $$= 180^{o}$$
If two angles are right angles in a triangle, then according to angle sum property, third angle $$= 0^{o}$$
This is not possible for a triangle.
So, other two angles have to be acute angle.
$$A$$ is the answer.
A triangle with the sides measuring $$5$$ cm, $$6$$ cm and $$4$$ cm is called:
Report Question
0%
an equilateral triangle
0%
an isosceles triangle
0%
a scalene triangle
0%
none of the above
Explanation
A triangle with three unequal sides is called scalene triangle.
So, option C is correct.
In a right angled triangle, the other two angles are:
Report Question
0%
acute
0%
obtuse
0%
right
0%
none of these
Explanation
An acute angle is an angle smaller than a right angle $$(90^{o}$$ is called a right angle$$).$$ Hence, in a right angled triangle the other two angles are acute.
The length of the hypotenuse of a right-angle triangle whose measure of two sides are 12 cm and
0.35 m is:
Report Question
0%
37 cm
0%
3.72 cm
0%
0.372 cm
0%
37 m
Explanation
$$0.35\, m\, =\, 0.35\, \times\, 100\, cm\, =\, 35\, cm$$
For a right angle triangle using Pythagorus theorem we get,
$$(Hypotenuse)^2\, =\, (side)^2\, +\, (side)^2$$
$$=\, (12)^2\, +\, (35)^2$$
$$= 144 + 1225$$
$$= 1369$$
$$Hypotenuse =$$ $$\sqrt{1369}\, =\, 37\, cm$$
A triangle with one obtuse and two acute angles is called
Report Question
0%
right angled triangle
0%
acute angled triangle
0%
obtuse angled triangle
0%
none
Explanation
An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles.
The sum of angles in a triangle must be 180° and no triangle can have more than one obtuse angle.
So option C is the correct answer.
The triangle formed by $$BC=8.2 cm$$, $$AC=7 cm$$ and $$ \displaystyle \angle C = 120^{\circ} $$ is-
Report Question
0%
An obtuse angled triangle
0%
An acute angle triangle
0%
A right angled triangle
0%
None of these
Explanation
In△ABC,
$$BC=8.2cm,AC=7cm$$ and $$\angle C=120°$$
Here, we can see triangle contain one obtuse angle.
So,△ABC, is an obtuse angled triangle
Option A is the correct answer.
Sum of the lengths of any two sides of a triangle is always ____ than the length of the third side.
Report Question
0%
less than
0%
equal to
0%
greater than
0%
None of these
Explanation
It is a property of a triangle that:
Sum of the lengths of any two sides of a triangle is always greater than the length of the third side.
If two angles in a triangle are 75$$\displaystyle ^{\circ}$$ and 95$$\displaystyle ^{\circ}$$ then the third angle is__
Report Question
0%
30$$\displaystyle ^{\circ}$$
0%
20$$\displaystyle ^{\circ}$$
0%
10$$\displaystyle ^{\circ}$$
0%
40$$\displaystyle ^{\circ}$$
Explanation
Because
by angle sum property, the sum of angles is $$180^o$$.
Let n be the third angle.
$$\therefore 75\displaystyle ^{\circ} $$+ 95$$\displaystyle ^{\circ} $$+ n = 180$$\displaystyle ^{\circ} $$
$$\displaystyle \Rightarrow $$ n =10$$\displaystyle ^{\circ} $$
$$\displaystyle \therefore $$ Third angle = 10$$\displaystyle ^{\circ} $$
A quadrilateral is having _____.
Report Question
0%
one diagonal
0%
two diagonals
0%
three diagonals
0%
four diagonals
Explanation
A quadrilateral is a four-sided polygon.
Here, $$ABCD$$ is a quadrilateral having four sides $$AB,BC,CD$$ and $$AD$$
Diagonal is a line segment that goes from one corner to another.
The diagonals of quadrilateral $$ABCD$$ are $$AC$$ and $$BD$$.
$$\therefore$$ A quadrilateral is having two diagonals.
The interior of a triangle is
Report Question
0%
the intersection of three lines
0%
the union of three line segments
0%
the set of the intersection of interiors of the angles of triangle
0%
none of these
Explanation
The interior of a triangle is the set of the intersection of interiors of the angles of triangle.
Can the three sides of length $$6 cm, 5 cm,$$ and $$3 cm$$ form a triangle?
Report Question
0%
Yes
0%
No
0%
Sometimes
0%
None
Explanation
Taking two sides at a time to check the inequality property of a triangle that is the sum of two sides of a triangle is always greater than the third side.
(1) $$(6 + 5) =11 > 3$$ {Satisfying}
(2) $$(5 + 3)= 8 > 6$$
{Satisfying}
(3) $$(3 + 6) =9 > 5$$
{Satisfying}
Hence, they can form a triangle.
If one angle of a triangle is equal to half the sum of the other two equal angles, then the triangle is
Report Question
0%
Isosceles
0%
Scalene
0%
Equilateral
0%
Right-angled
Explanation
$$\displaystyle \angle A=\frac { 1 }{ 2 } \left( \angle B+\angle C \right) $$
$$\displaystyle \angle A+\angle B+\angle C=\frac { 1 }{ 2 } \left( \angle B+\angle A \right) $$
$$\displaystyle or\quad \angle B+\angle C={ 90 }^{ o }or\angle A={ 90 }^{ o }$$
In a $$\displaystyle \Delta ABC$$, if $$\displaystyle AC^{2} = AB^{2} + BC^{2}$$ then the right angle is at__
Report Question
0%
C
0%
B
0%
A
0%
None of these
Explanation
Pythagoras theorem,
$$\Rightarrow$$
$$(Hypotenuse)^2=(One\,side)^2+(second\,side)^2$$ ---- ( 1 )
In $$\triangle ABC,$$
$$\Rightarrow$$
$$(AC)^2=(AB)^2+(BC)^2$$ [ Given ] ----- ( 2 )
Comparing ( 1 ) and ( 2 ) we get,
$$\Rightarrow$$
$$AC$$ is the hypotenuse of a triangle.
Hypotenuse is the longest side of a right-angled triangle, opposite the right angle.
So, opposite angle of hypotenuse $$AC$$ is $$B.$$
$$\therefore$$ $$B$$ is right angle.
$$\Rightarrow$$ In $$\triangle ABC$$ if $$AC^2=AB^2+BC^2$$ then the right angle is at $$B.$$
All equilateral triangles have ___ sides and ____ angles equal.
Report Question
0%
two, two
0%
three, three
0%
three , two
0%
two, three
Explanation
A triangle with all sides equal and all the three angles equal to $$60^\circ$$ is called an Equilateral triangle.
Thus, option $$B$$ is correct.
We use ........... formula to find the lengths of the right angled triangles.
Report Question
0%
Pythagoras theorem
0%
Postulate theorem
0%
Thales theorem
0%
None of the above
Explanation
$$\displaystyle { a }^{ 2 }+{ b }^{ 2 }={ c }^{ 2 }$$ is the formula used to find the lengths of the right angled triangles. This formula was named after the mathematician named Pythagoras called Pythagoras theorem .
Therefore, A is the correct answer.
Angles opposite to ____ sides of an isosceles triangles are equal.
Report Question
0%
equal
0%
unequal
0%
any two
0%
none of these
Explanation
Angles opposite to equal sides of an isosceles triangles are equal.
In Pythagoras theorem in right angled triangle the longest side is called the
Report Question
0%
Hypotenuse
0%
Height
0%
Perpendicular
0%
Bisector
Explanation
Longest side is called Hypotenuse and its is opposite to the right angle.
In the attached figure $$AC$$ is Hypotenuse.
A triangle whose........... angle(s) is $$\displaystyle { 90 }^{ o }$$ is called a right angled triangle.
Report Question
0%
$$0$$
0%
$$3$$
0%
$$2$$
0%
$$1$$
Explanation
A triangle whose one angle is $$\displaystyle { 90 }^{ o }$$ is called a right angled triangle.
In Pythagoras theorem the right angled triangle is also called a
Report Question
0%
Acute angled triangle
0%
Scalene angled triangle
0%
Reflex angled triangle
0%
Straight angled triangle
Explanation
A scalene angled triangle has no sides or angles that are the same.
For Eg: The sides of a triangle are in the ratio $$6:8:10$$. So triangle with different sides or angles is called Scalene Angled Triangle.
For given figure, the formula for Pythagoras theorem is:
Report Question
0%
$$\displaystyle { a }^{ 2 }-{ b }^{ 2 }={ c }^{ 2 }$$
0%
$$\displaystyle { c }^{ 2 }+{ b }^{ 2 }={ a }^{ 2 }$$
0%
$$\displaystyle { a }^{ 2 }+{ b }^{ 2 }={ c }^{ 2 }$$
0%
$$\displaystyle { a }^{ 2 }+{ c }^{ 2 }={ b }^{ 2 }$$
Explanation
The formula of Pythagoras theorem for the right angled triangles is $$\displaystyle { a }^{ 2 }+{ b }^{ 2 }={ c }^{ 2 }$$.
The diagram shows a right angled triangle which is right angeled at C. So, we use $$\displaystyle { a }^{ 2 }+{ b }^{ 2 }={ c }^{ 2 }$$ to find the unknown length.
Where,
$$a = $$ Height
$$b = $$ base
$$c = $$ Hypotenuse
If all the angles of a triangle measure less than $$\displaystyle { 90 }^{ o }$$, then such a triangle is called ........
Report Question
0%
Right angled triangle
0%
Obtuse angled triangle
0%
Acute angled triangle
0%
None of these
Explanation
If all the angles of a triangle measure less than $$\displaystyle { 90 }^{ o }$$, then such a triangle is called acute angled triangle. For eg: An equilateral triangle with all the angles equal to
$$\displaystyle { 60 }^{ o }$$ is acute angled triangle.
How do you know the triangle is right angled?
Report Question
0%
The triangle is right angled when the three sides of a triangle make $$\displaystyle { a }^{ 2 }+{ b }^{ 2 }={ c }^{ 2 }$$
0%
The triangle is right angled when the three sides of a triangle do not make $$\displaystyle { a }^{ 2 }+{ b }^{ 2 }={ c }^{ 2 }$$
0%
The triangle is not right angled when the three sides of a triangle make $$\displaystyle { a }^{ 2 }+{ b }^{ 2 }={ c }^{ 2 }$$
0%
The three sides of a triangle are all same.
Explanation
If a triangle is right triangle then the square of longest side is equal to the sum of squares of other two sides.
If $$a,b,c$$ are the sides with $$c$$ as longest side then
$$a^2+b^2=c^2$$
So option $$A$$ is correct.
__________ triangle has two sides of equal length.
Report Question
0%
Equilateral
0%
Scalene
0%
Isosceles
0%
Acute
Explanation
$$(A)$$ Equilateral triangle has all three sides equal.
$$(B)$$ Scalene triangle has all three sides unequal.
$$(C)$$ Isosceles triangle has two sides of equal length.
$$(D)$$ Acute triangle is a type of triangle which depends upon the angles.
So, option $$C$$ is correct.
A ______ triangle has no congruent sides.
Report Question
0%
isosceles
0%
equilateral
0%
acute
0%
scalene
Explanation
A scalene triangle has no congruent sides, all sides are different.
A ______ triangle has no equal angles.
Report Question
0%
isosceles
0%
equilateral
0%
acute
0%
scalene
Explanation
A scalene triangle has all angles and sides unequal.
Which angle of a triangle is a right angle?
Report Question
0%
Angle C
0%
Angle A
0%
Angle B
0%
None of the above
Explanation
From the geometry of the figure it is clear that $$\angle B$$ is right angle.
So option $$C$$ is correct.
Identify the scalene triangle.
Report Question
0%
0%
0%
0%
Explanation
Scalene triangles are triangles with all three sides of different lengths and all three angles of different measure.
Option $$A$$ has all sides of same length.
Option $$B$$ and $$D$$ have two sides of same length.
So, only option $$C$$ is correct, where all $$3$$ sides and angles are different.
What is the length of $$BC$$ in an equilateral triangle?
Report Question
0%
1
0%
2
0%
3
0%
4
Explanation
An equilateral triangle has all three sides of equal length.
So, $$AB = AC = BC = 4$$.
0:0:1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
0
Answered
0
Not Answered
0
Not Visited
Correct : 0
Incorrect : 0
Report Question
×
What's an issue?
Question is wrong
Answer is wrong
Other Reason
Want to elaborate a bit more? (optional)
Practice Class 7 Maths Quiz Questions and Answers
<
>
Support mcqexams.com by disabling your adblocker.
×
Please disable the adBlock and continue.
Thank you.
Reload page
