What does an equilateral triangle look like ?
Answer
561k+ views
Hint: In this question, we need to explain what an equilateral triangle looks like. This question can be solved by looking at the definitions of types of triangles.
Complete step by step answer:
A triangle is a geometrical figure which has three sides, three angles and three vertices . The sum of all internal angles of a triangle is always equal to \[180^{o}\]. Mathematically, there are six types of triangle based on their sides and angles.
An equilateral triangle is a triangle which has three equal sides and three equal angles. An equilateral triangle is a regular polygon with three dimensions. There are three edges and three vertices in the equilateral triangle. Each of the angle measures in the equilateral triangle is \[60^{o}\] .
Let us consider a triangle ABC,
In this triangle, the sides are in equal length and the angles are also equal , all \[60^{o}\] in measure.
Note:
There are three types of triangle based on their sides namely isosceles triangle – a triangle with two equal sides , equilateral triangle – a triangle with all the three sides equal and scalene triangle – a triangle with no equal sides. And also there are three types of triangle based on their angles namely right angle triangle – a triangle which has one angle equal to \[90^{o}\] , acute angle triangle – a triangle which has all the angles less than \[90^{o}\] and obtuse angle triangle – a triangle which has one angle greater than \[90^{o}\] .The sum of all internal angles of a triangle is always equal to \[180^{o}\] is known as the property of the triangle. The perimeter of the equilateral triangle is \[3a\] and the area of the equilateral triangle is \[\dfrac {\sqrt3}{4} a^{2}\] .
Complete step by step answer:
A triangle is a geometrical figure which has three sides, three angles and three vertices . The sum of all internal angles of a triangle is always equal to \[180^{o}\]. Mathematically, there are six types of triangle based on their sides and angles.
An equilateral triangle is a triangle which has three equal sides and three equal angles. An equilateral triangle is a regular polygon with three dimensions. There are three edges and three vertices in the equilateral triangle. Each of the angle measures in the equilateral triangle is \[60^{o}\] .
Let us consider a triangle ABC,
Note:
There are three types of triangle based on their sides namely isosceles triangle – a triangle with two equal sides , equilateral triangle – a triangle with all the three sides equal and scalene triangle – a triangle with no equal sides. And also there are three types of triangle based on their angles namely right angle triangle – a triangle which has one angle equal to \[90^{o}\] , acute angle triangle – a triangle which has all the angles less than \[90^{o}\] and obtuse angle triangle – a triangle which has one angle greater than \[90^{o}\] .The sum of all internal angles of a triangle is always equal to \[180^{o}\] is known as the property of the triangle. The perimeter of the equilateral triangle is \[3a\] and the area of the equilateral triangle is \[\dfrac {\sqrt3}{4} a^{2}\] .
Recently Updated Pages
What are the two major island groups in India class 9 social science CBSE

What is Jhum cultivation class 9 biology CBSE

Write an Article on Save Earth Save Life

Silk is obtained from of the silk moth APupa BLarva class 9 chemistry CBSE

Write chemical formulas of the following compounds class 9 chemistry CBSE

The Indo Gangetic Plains of India are fertile due to class 9 social science CBSE

Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

Name 10 Living and Non living things class 9 biology CBSE

What is the full form of pH?

On an outline map of India show its neighbouring c class 9 social science CBSE

What is pollution? How many types of pollution? Define it

