equiangular triangle

In the previous post we have discussed about Define Equilateral Triangle and In today's session we are going to discuss about equiangular triangle. Hi friends, we will study different types of triangle such as equilateral triangle, isosceles triangle and so on. Here we will discuss one of the important triangle that is equiangular triangle. An equiangular triangle can be defined as a triangle such that the entire interior angles are of equal length and angle are of 60 degree.

The interior angles of an equiangular triangle always reach to 180 degree, and each angle of equilateral triangle is always third part of it. It means we can say that all the angles are of 60 degree. Let’s discuss some properties related to equiangular triangular.

Area – The area of equiangular triangle is given by:

Area = √3 / 4 s², here‘s’ denotes the length of any one side.

In case of equiangular triangle, the radius of a circle is just half of the radius of the circumference. Interior angles – 60 degree is the interior angles of an equiangular triangle. Perimeter – addition of the  entire sides of an equiangular triangle is perimeter.

Perimeter = s + t + u, here ‘s’, ‘t’, ‘u’ are the lengths of three sides of an equiangular triangle. Now we will discuss that how to find the area of equiangular triangle with the help of example: (know more about equiangular triangle, here)

Example: Find the area of equiangular triangle where the length of sides are 16, 16, 16 inch?

Solution: We know that the formula for finding the area of equiangular triangle is:

Area = √3 / 4 s²,

Given, length = 16 inch, put the value of all sides in a given formula:

 Area = √3 / 4 s²

Area = √3 / 4 (16)²,

Area = √3 / 4 (256),

Area = 256 √3 / 4,

So, the area of an equiangular triangle is 256 √3 / 4.

Same side Interior Angles can be defined as the angle pairs which are on inside of two lines and also on same side of traversal. icse guess papers 2013 is very helpful for exam point of view.