The Triangle and Its Properties Test

Result

The Triangle and Its Properties Test - 8

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

The triangle formed by $$BC=8.2 cm$$, $$AC=7 cm$$ and $$ \displaystyle \angle C = 120^{\circ} $$ is-

A
An obtuse angled triangle

B
An acute angle triangle

C
A right angled triangle

D
None of these

Solution

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.
Question 2
1 / -0

The interior of a triangle is

A
the intersection of three lines

B
the union of three line segments

C
the set of the intersection of interiors of the angles of triangle

D
none of these

Solution

The interior of a triangle is the set of the intersection of interiors of the angles of triangle.
Question 3
1 / -0

A quadrilateral is having _____.

A
one diagonal

B
two diagonals

C
three diagonals

D
four diagonals

Solution

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.
Question 4
1 / -0

Can the three sides of length $$6 cm, 5 cm,$$ and $$3 cm$$ form a triangle?

A
Yes

B
No

C
Sometimes

D
None

Solution

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.
Question 5
1 / -0

If one angle of a triangle is equal to half the sum of the other two equal angles, then the triangle is

A
Isosceles

B
Scalene

C
Equilateral

D
Right-angled

Solution

$$\displaystyle \angle A=\frac { 1 }{ 2 } \left( \angle B+\angle C \right) $$
$$\displaystyle \angle A+\angle B+\angle C=\frac { 1 }{ 2 } \left( \angle B+\angle A \right) $$
$$\displaystyle or\quad \angle B+\angle C={ 90 }^{ o }or\angle A={ 90 }^{ o }$$
Question 6
1 / -0

In a $$\displaystyle \Delta ABC$$, if $$\displaystyle AC^{2} = AB^{2} + BC^{2}$$ then the right angle is at__

A
C

B
B

C
A

D
None of these

Solution

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 $$B.$$
Question 7
1 / -0

All equilateral triangles have ___ sides and ____ angles equal.

A
two, two

B
three, three

C
three , two

D
two, three

Solution

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.
Question 8
1 / -0

We use ........... formula to find the lengths of the right angled triangles.

A
Pythagoras theorem

B
Postulate theorem

C
Thales theorem

D
None of the above

Solution

$$\displaystyle { a }^{ 2 }+{ b }^{ 2 }={ c }^{ 2 }$$ 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.
Question 9
1 / -0

Angles opposite to ____ sides of an isosceles triangles are equal.

A
equal

B
unequal

C
any two

D
none of these

Solution

Angles opposite to equal sides of an isosceles triangles are equal.
Question 10
1 / -0

In Pythagoras theorem in right angled triangle the longest side is called the

A
Hypotenuse

B
Height

C
Perpendicular

D
Bisector

Solution

Longest side is called Hypotenuse and its is opposite to the right angle.
In the attached figure $$AC$$ is Hypotenuse.

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

The Triangle and Its Properties Test - 8

Result

The Triangle and Its Properties Test - 8

Score

-

Rank

-

SHARING IS CARING

Question 1

An obtuse angled triangle

An acute angle triangle

A right angled triangle

None of these

Solution

Question 2

the intersection of three lines

the union of three line segments

the set of the intersection of interiors of the angles of triangle

none of these

Solution

Question 3

one diagonal

two diagonals

three diagonals

four diagonals

Solution

Question 4

Yes

No

Sometimes

None

Solution

Question 5

Isosceles

Scalene

Equilateral

Right-angled

Solution

Question 6

C

B

A

None of these

Solution

Question 7

two, two

three, three

three , two

two, three

Solution

Question 8

Pythagoras theorem

Postulate theorem

Thales theorem

None of the above

Solution

Question 9

equal

unequal

any two

none of these

Solution

Question 10

Hypotenuse

Height

Perpendicular

Bisector

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.