**Definition of Equilateral Triangle**(समभुज त्रिकोण)

**:**

Equilateral Triangle is a Triangle in which all three sides are equal in lenght,

**equilateral triangle**are also

**equiangular**(angles are equal to each other, which is possible if all angles is equal to 60 degree).Now we can define equilateral triangle as "a triangle in which Angles and lenght of three side is equal", given picture/image of equilateral triangle below

__Area of an equilateral triangle__:

**s**is the length of one side of the triangle, and

Area

of equilateral triangle=

√

3

4

s

2

Height/altitude of equilateral triangle Formula=s/2 x √3

Perimeter of equilateral triangle Formula=3s

Perimeter of equilateral triangle Formula=3s

**Types of**

**equilateral triangle****acute equilateral triangle:**

An ACUTE equilateral(all angles are acute) triangle contains three acute angles (each angle of an acute triangle is less than 90 degrees).sum of the angles of a triangle is always 180 degrees. An acute triangle may be isosceles, equilateral, or scalene.

**equiangular triangle:**

In an equiangular triangle, all the angles are equal—each angle equal to 60 degrees. An equiangular triangle is a kind of acute triangle, and equiangular triangle is always equilateral.

Is it possible to have a equilateral right triangle?

**No**(because in right triangle all angles are not equal)

Is it possible to have a equilateral obtuse triangle?

**No**(because in obtuse triangle all angles are not equal)