write down the types of triangle with diagram
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Step-by-step explanation:
Answer:
What is triangle
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.
There are basically six different types of triangles with respect to the length and measure of the lines and angles of a triangle, respectively.
Six Types of Triangles
Triangles can be broadly classified into two 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
Step-by-step explanation:
more about it
Types of Triangles Based on Sides
According to the lengths of their sides, triangles can be classified into three types which are:
Scalene
Isosceles
Equilateral
Let us discuss them one by one.
Scalene Triangle
A scalene triangle has all side lengths of different measures.
Isosceles Triangle
In an isosceles triangle, the lengths of two of the three sides are equal. So, the angles opposite the equal sides are equal to each other.
Equilateral Triangle
In an equilateral triangle, all the lengths of the sides are equal. In such a case, each of the interior angles will have a measure of 60 degrees. Since the angles of an equilateral triangle are same, it is also known as an equiangular triangle.
Types of Triangles Based on Angles
Triangles can be classified into three types with respect to their interior angles which are:
Acute-angled
Obtuse-angled
Right-angled
Let us discuss them.
Acute Triangle
An acute triangle is a triangle whose all the three interior angles are acute.
Obtuse Triangle
Obtuse triangles are those in which one of the three interior angles has a measure greater than 90 degrees.
Right Triangle
A right triangle is a triangle in which one of the angles is 90 degrees. In a right-angled triangle, the side opposite to the right angle (90-degree angle) will be the longest side and is called the hypotenuse.
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