Question

What does an equilateral triangle look like ?

Answer 1

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 \[\dfrac {\sqrt3}{4} a^{2}\] .