Pictures Of A Obtuse Triangle

At that place are basically six different types of triangles with respect to the length and measure of the lines and angles of a triangle, respectively. To recall, a triangle is a specific type of polygon having only iii sides and 3 angles. Based on these specifications and design, the properties of triangles are defined for all its unlike types.

Equally the name suggests, a "triangle" is a three-sided polygon having three angles. The sum of all interior angles of a triangle volition always add upwards to 180 degrees. This is called the angle sum belongings of triangle. Also, a triangle has many properties. Let usa discuss in detail nearly the triangle types.

Also check: Mathematics for Grade ten, to learn more about triangles.

Table of contents:

Six types
Based on Sides
- Scalene
- Isosceles
- Equilateral
Based on Angles
- Astute-angled
- Obtuse-angled
- Right-angled

Six Types of Triangles

Triangles can be broadly classified into 2 types, which are:

Triangles based on the lengths of their sides
Triangles based on their interior angles

These two triangle types are explained here along with their further classifications.

Based on their Sides	Based on their Angles
Scalene Triangle	Acute Triangle
Isosceles Triangle	Obtuse Triangle
Equilateral Triangle	Right Triangle

Nosotros will discuss all the above triangles broadly in the next section to differentiate among them all. Also, volition see the properties of each triangle related to them.

Also, read:

Triangles For Course 9
Triangles For Course 10
Important Questions Form 9 Maths Affiliate seven Triangles
Important Questions Grade 10 Maths Chapter 6 Triangles

Types of Triangles Based on Sides

According to the lengths of their sides, triangles can exist classified into three types which are:

Scalene
Isosceles
Equilateral

Permit us discuss them ane by 1.

Scalene Triangle

A scalene triangle has all side lengths of different measures. No side volition be equal in length to any of the other sides in such a triangle. In a scalene triangle, all the interior angles are also different. The effigy given below illustrates a scalene triangle. You can see how none of the sides is equal in length.

Scalene Triangle

In the above-given figure, y'all tin can see that all the sides of the triangle seem to be unequal.

Isosceles Triangle

In an isosceles triangle, the lengths of ii of the iii sides are equal. So, the angles contrary the equal sides are equal to each other. In other words, an isosceles triangle has two equal sides and ii equal angles. The figure given below illustrates an isosceles triangle.

Isosceles Triangle

In the in a higher place figure, we can meet the two sides of the triangle appears to be equal, whereas the base of the triangle hither is smaller than the other two sides.

Equilateral Triangle

In an equilateral triangle, all the lengths of the sides are equal. In such a case, each of the interior angles volition have a measure of threescore degrees. Since the angles of an equilateral triangle are aforementioned, information technology is also known as an equiangular triangle. The figure given below illustrates an equilateral triangle.

Equilateral Triangle

In the above figure, all the three sides of the triangles are equal also equally all the interior angles equal to 60 degrees.

Types of Triangles Based on Angles

Triangles can be classified into three types with respect to their interior angles which are:

Acute-angled
Birdbrained-angled
Right-angled

Let u.s.a. discuss them.

Acute Triangle

An acute triangle is a triangle whose all the iii interior angles are acute. In other words, if all interior angles are less than 90 degrees, then it is an acute-angled triangle. The figure given below illustrates an acute triangle.

In the in a higher place figure, nosotros can see all the interior angles of the triangle, is less than 90 degrees, hence it is an acute triangle.

Birdbrained Triangle

Obtuse triangles are those in which one of the three interior angles has a mensurate greater than 90 degrees. In other words, if one of the angles in a triangle is an obtuse bending, then the triangle is chosen an birdbrained-angled triangle. The figure given beneath illustrates an obtuse triangle.

In the above triangle, we can see that one of the angles is more than than 90 degrees. Hence, it is an birdbrained triangle.

Right Triangle

A right triangle is a triangle in which one of the angles is 90 degrees. In a right-angled triangle, the side contrary to the right bending (90-degree angle) will be the longest side and is called the hypotenuse. You may come across triangle types with combined names like right isosceles triangle and such, but this just implies that the triangle has ii equal sides with one of the interior angles being 90 degrees. The figure given below illustrates a right triangle.

Right angled Triangle

In the above triangle, one amidst the three angles is 90 degrees, thus information technology is a right triangle.

Video Lesson on Types of Triangles

Geometry is all most shapes like square, circle, rectangle, triangle and so on. Amidst all the shapes that nosotros have listed here, triangles seem to be fun and different. Triangle is a shape that is made upward of three lines and 3 angles. Watch this video to know how the triangle is dissimilar from other shapes and meet how you lot can learn and retrieve different types of triangles hands from the video.

Nosotros encounter triangles everywhere. If we somehow manage to bring three lines together, we can meet a triangle is formed. In that location are unlike types of triangles – equilateral triangles, isosceles triangles, scalene triangles so on. The names of these triangles don't even sound English.

Practise y'all know how these triangles got these names? Watch this video to know the trivia behind triangles and learn its properties in the simplest way.

Triangle:Introduction

Frequently Asked Questions on Types of Triangles

Write down the types of triangles classified based on its sides.

Based on the sides of a triangle, a triangle is classified into iii dissimilar types, namely:
Scalene Triangle
Isosceles Triangle
Equilateral Triangle

Mention the classification of a triangle based on its bending.

Based on the angles of a triangle, a triangle is classified as:
Acute Triangle
Right Triangle
Obtuse Triangle

Define scalene, isosceles and equilateral triangle.

In a scalene triangle, all the sides of a triangle are of dissimilar length. In an isosceles triangle, 2 sides of a triangle are of the aforementioned measure. In an equilateral triangle, all the sides of a triangle are of equal length.

Ascertain acute, obtuse and right triangle.

In an acute triangle, all the angles of a triangle are less than ninety degrees.
In an obtuse triangle, ane of the angles of a triangle is greater than 90 degrees.
In a right triangle, one bending measures 90 degrees and the other two angles are acute.

Can an acute triangle be a scalene triangle?

An acute triangle can be a scalene triangle, isosceles triangle or equilateral triangle. The astute triangle can be drawn if the triangle has equal or unequal side lengths.

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