In our daily
life, we have to deal with different kinds of shapes. In these shapes, some
shapes are opened and some shapes are closed. To differentiate these shapes, we
have kept the names of these shapes. Therefore, a closed figure which has three
sides that are connected is known as a triangle. Along with three sides, a
triangle has also three angles. Based on these sides and angles, triangles are
classified into different types. Here, we will discuss all types of triangles
with the help of pictures.

#
Triangles Classified by Sides

Based on
sides, triangles are classified into three categories. These three categories
of the triangles based on sides are explained below;

##
1.
Scalene Triangle

A scalene
triangle is such a triangle which has different lengths of its sides. It means
that there are not congruent sides in the scalene triangle. Along with
different lengths of sides, the measures of all the angles of this triangle are
also different.

##
2.
Isosceles Triangle

A triangle
which has two congruent sides (same lengths) is known as an isosceles triangle.
The two sides of the isosceles triangle which have same lengths are known as
legs and the third side of this triangle which has a different length is known
as base. The angle which is formed by two congruent sides of an isosceles
triangle is known as vertex angle and the other two angles are known as base
angles. The most important quality of this triangle is that the base angles of
this triangle are of equal measurement.

##
3.
Equilateral Triangle

It is an
essential kind of triangle concerning sides because this triangle has three
sides of equal lengths. In other words, we can say that an equilateral triangle
is a triangle which has all the three sides congruent. We can also say an
equilateral triangle as a regular triangle because along with three equal
sides, this triangle has also three angles of equal measurement. As the total
measurement of all the angles of a triangle is 180°. Therefore, each angle of
an equilateral triangle is 60°.

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#
Triangles Classified by Angles

Based on the
angles, we can classify these triangles into five different categories. These
five categories of the triangles based on angles are explained below;

##
4.
Acute Triangle

As we know
that there are three angles of a triangle. If all the angles of a triangle have
less than 90°, this triangle is known as an acute triangle. The most important
quality of this triangle is that it can be an isosceles, scalene or equilateral
triangle.

##
5.
Right-Angled Triangle

A triangle
which has at least one right angle (an angle of exact 90° measurements) is
known as a right-angled triangle. A right-angled triangle can be an isosceles
or scalene triangle but it can’t be an equilateral triangle.

##
6.
Obtuse Triangle

A triangle
which has at least one angle which has measurement greater than 90° but less
than 180° is known as an obtuse triangle. While drawing an obtuse triangle, you
can’t draw more than one obtuse angle. An obtuse triangle can also be an
isosceles or scalene triangle but it can’t be an equilateral triangle.

##
7.
Equiangular Triangle

A triangle
which has all three angles of equal measurement is known as an equiangular
triangle. It means that all the angles of a triangle should be 60°. All the
equiangular triangles are also equilateral.

##
8.
Oblique Triangle

A triangle which
is not a right-angled triangle is known as an oblique triangle. It means that
an oblique triangle can be either an acute triangle, obtuse triangle,
equiangular triangle but it can’t be a right-angled triangle.

#
Basic Properties of Triangles

Along with
understanding different types of triangles, it is also necessary for us to get
an idea about the basic properties of the triangles. These properties are
explained below;

·
According
to the angle sum property of a triangle, the sum of all the angles of a triangle
should be 180°.

·
If
we add two sides of a triangle, their sum will be greater than the third side
of the triangle.

·
The
side which is opposite to the largest angle of the triangle is known as the
largest side of the triangle.

·
If
we know two sides of a triangle, we can easily find the third side of the
triangle by using Pythagorean Theorem.

·
If
we know the two angles of a triangle, we can easily find the third angle of the
triangle by using the angle sum formula of a triangle.

#
Real-Life Example of Triangles

It is a fact
that if we want to teach the basic concept of triangles to the students, we
will have to give real-life examples of triangles to the students. Some
essential and interesting real-life examples of the triangles are given below;

·
Most
of us see traffic signs daily. These traffic signs are the best examples of the
equilateral triangles because all the angles and sides of these traffic signs
are equal.

·
Bermuda
triangle is also known as another real-life example of the triangles. Bermuda
triangle is a loosely defined triangular area in the Atlantic Ocean. In the
Bermuda Triangle, more than 50 ships and 20 aircraft are my sterically
disappeared.

·
Pyramids
are also the best real-life examples of the triangles. These are ancient
mountains that were constructed by the Egyptians. The shapes of these pyramids
are tetrahedral i.e there are four triangular regions in these ancient
mountains.

·
To
support the bridges, triangular shapes are constructed. These triangular shapes
are known as Truss bridges. These supporting shapes can distribute the weight
of the bridges.

·
Sailing
boats are also the best real-life examples of triangular shapes. Some years
ago, the designs of these shapes were square but nowadays, almost all the
sailing shapes have triangular designs.

·
The
roofs of the houses are triangular. These shapes of the roofs don’t allow rain
and snow to stay for a longer period.

·
While
constructing the staircases, the constructors use knowledge of triangle. Its
reason is that they have to build these staircases in the triangular form.
These staircases form the right-angled triangles. When we have to place the staircase
in front of a wall, we have to make a triangular shape.

·
To
make some buildings appealing and interesting, these buildings are constructed
in the triangular shape. The most important example of these kinds of buildings
is the Eiffel Tower.

·
We
have to use triangular formulas to find the height of a pole or a mountain. For
this reason, we use the concept of a right-angled triangle.

·
Sandwiches
and pizzas are the most favourite foods for the young generation. Most of the
people start their day by eating sandwiches and the shape of these sandwiches
is also triangular. Some pizzas are also available in the triangular shape.

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