Class 7 Exam > Class 7 Videos > L3 : Construction of Triangles - Practical Geometry , Maths, Class 7
L3 : Construction of Triangles - Practical Geometry , Maths, Class 7 Video Lecture
FAQs on L3 : Construction of Triangles - Practical Geometry , Maths, Class 7 Video Lecture
| 1. What is practical geometry? |  |
Ans. Practical geometry is a branch of mathematics that involves applying geometric principles and concepts to solve real-world problems or construct physical objects. It focuses on the practical application of geometrical knowledge in fields such as architecture, engineering, and design.
| 2. How are triangles constructed in practical geometry? | |
Ans. Triangles can be constructed in practical geometry using various methods. Some common methods include constructing triangles using three sides, constructing triangles using two sides and an included angle, and constructing triangles using three angles. These constructions involve using a compass and straightedge to accurately measure and draw the required lines and angles.
| 3. Can any three line segments be used to construct a triangle? | |
Ans. No, not any three line segments can be used to construct a triangle. In order to construct a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem. If this condition is not satisfied, a triangle cannot be constructed.
| 4. What are the steps involved in constructing a triangle using two sides and an included angle? | |
Ans. To construct a triangle using two sides and an included angle, follow these steps:
1. Draw a line segment to represent one of the given sides.
2. Use a compass to measure the length of the other given side and draw an arc with that length from one endpoint of the first side.
3. Use a protractor to measure the given included angle and mark the corresponding angle at the endpoint of the arc.
4. Draw a line segment connecting the endpoint of the first side to the point where the arc intersects the angle.
5. The resulting line segment forms the third side of the triangle, and the triangle is now constructed.
| 5. What is the importance of triangle construction in practical geometry? | |
Ans. Triangle construction is important in practical geometry as it allows us to accurately create and visualize triangles in real-world scenarios. It is especially useful in fields such as architecture and engineering, where precise measurements and constructions are necessary for designing structures and objects. Triangle constructions also help in understanding and applying geometric concepts and theorems, making it an essential skill in practical geometry.
Text Transcript from Video
hello friends this video on practical
geometry part 3 is brought to you by
exam for your calm no more pure from
exam so now you might be thinking that
wow it was pretty simple and now I can
draw parallel lines now have you ever
thought of constructing triangles or
drawing triangles with accuracy you
might be thinking that that that would
be tough because in a triangle there are
so many different parameters involved we
have three sides we have three angles
for that matter we have so many
different types of triangles we have a
right-angled triangle we have a Q
triangle we have obtuse triangle
we also have scaling Wrangell isosceles
triangle so there are varieties of
triangles that exist so if I if we think
of drawing triangles that is definitely
going to be something very complex so we
will now learn how to draw different
types of triangles so we will do it one
after another we will look at drawing
four different types of triangles now
there are certain criteria which are
needed to draw a triangle now if you
want me to draw a triangle there are
certain set of information which needs
to be given to me so that I can draw a
triangle for example if you want you to
draw a parallel line so you need to give
me a line so one existing line has to be
there so that I can draw another line
which is parallel to the given line
right so that is something which needs
to be given by you similarly where you
want me to draw a triangle you either
need to provide me the length of the
three sides so if you provide me the
length of the three sides
I can draw a triangle like this so you
just draw three sides of the given
length you get a triangle or you can
give me the length of two sides and the
angle between them so with that much
information also we can draw a triangle
so basically what we are trying to say
is it is not needed that
in order to draw a tangle you need to
give information about the length of all
the three sides and all the three angles
that does not need it even if you give
information only about the length of
three sides we can get the triangle if
you give information about two sides and
the angle between them something like
this you know these two sides and you
also know the angle between them so with
this much information also you can draw
a triangle similarly if you know two
angles and the side between them with
that also you can draw a triangle for
example you know the values of these two
angles and you know the length of this
side which lies between these two angles
so if you know this much information you
can again draw a triangle like this
so you basically see these two lines
would mean at some point and then it
makes a triangle or if you are trying to
draw a right-angled triangle for which
we always know that there is a 90 degree
present there is a right angle present
that is why it is a right angle triangle
so for right angle triangle if you know
the length of the hypotenuse and any one
length whether it is the base or the
perpendicular any one of them and the
hypotenuse so now in a right angle
triangle this is the hypotenuse I put in
uses that side which lies exactly
opposite to the right angle so let's say
this is the right angle triangle so this
is 90 degrees so the side opposite to 90
degree is this side which is nothing but
the hypotenuse so to draw a right angle
triangle if you know the length of the
hypotenuse and any one length you can
draw the triangle so basically these are
the four different criteria which are
the four different possibilities so
either you give us the three sides or
you give us two sides and the angle
between them or you give us two angles
and the included side or you give the
hypo
and leg of a right ankle trend so with
any one of these given set of
information we draw an accurate triangle
thank you please visit exam fee or come
for free quality education you can learn
with a simple four-step learning process
wherein you can watch video lessons you
can ask your questions you can refer
notes and you can take a free online
test we have content for class six to
twelve on physics chemistry mathematics
and biology along with practical videos
so please subscribe to our channel for
daily updates thank you
geometry part 3 is brought to you by
exam for your calm no more pure from
exam so now you might be thinking that
wow it was pretty simple and now I can
draw parallel lines now have you ever
thought of constructing triangles or
drawing triangles with accuracy you
might be thinking that that that would
be tough because in a triangle there are
so many different parameters involved we
have three sides we have three angles
for that matter we have so many
different types of triangles we have a
right-angled triangle we have a Q
triangle we have obtuse triangle
we also have scaling Wrangell isosceles
triangle so there are varieties of
triangles that exist so if I if we think
of drawing triangles that is definitely
going to be something very complex so we
will now learn how to draw different
types of triangles so we will do it one
after another we will look at drawing
four different types of triangles now
there are certain criteria which are
needed to draw a triangle now if you
want me to draw a triangle there are
certain set of information which needs
to be given to me so that I can draw a
triangle for example if you want you to
draw a parallel line so you need to give
me a line so one existing line has to be
there so that I can draw another line
which is parallel to the given line
right so that is something which needs
to be given by you similarly where you
want me to draw a triangle you either
need to provide me the length of the
three sides so if you provide me the
length of the three sides
I can draw a triangle like this so you
just draw three sides of the given
length you get a triangle or you can
give me the length of two sides and the
angle between them so with that much
information also we can draw a triangle
so basically what we are trying to say
is it is not needed that
in order to draw a tangle you need to
give information about the length of all
the three sides and all the three angles
that does not need it even if you give
information only about the length of
three sides we can get the triangle if
you give information about two sides and
the angle between them something like
this you know these two sides and you
also know the angle between them so with
this much information also you can draw
a triangle similarly if you know two
angles and the side between them with
that also you can draw a triangle for
example you know the values of these two
angles and you know the length of this
side which lies between these two angles
so if you know this much information you
can again draw a triangle like this
so you basically see these two lines
would mean at some point and then it
makes a triangle or if you are trying to
draw a right-angled triangle for which
we always know that there is a 90 degree
present there is a right angle present
that is why it is a right angle triangle
so for right angle triangle if you know
the length of the hypotenuse and any one
length whether it is the base or the
perpendicular any one of them and the
hypotenuse so now in a right angle
triangle this is the hypotenuse I put in
uses that side which lies exactly
opposite to the right angle so let's say
this is the right angle triangle so this
is 90 degrees so the side opposite to 90
degree is this side which is nothing but
the hypotenuse so to draw a right angle
triangle if you know the length of the
hypotenuse and any one length you can
draw the triangle so basically these are
the four different criteria which are
the four different possibilities so
either you give us the three sides or
you give us two sides and the angle
between them or you give us two angles
and the included side or you give the
hypo
and leg of a right ankle trend so with
any one of these given set of
information we draw an accurate triangle
thank you please visit exam fee or come
for free quality education you can learn
with a simple four-step learning process
wherein you can watch video lessons you
can ask your questions you can refer
notes and you can take a free online
test we have content for class six to
twelve on physics chemistry mathematics
and biology along with practical videos
so please subscribe to our channel for
daily updates thank you
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