What is Equilateral Triangle Altitude

Introduction:

          In geometry, an equilateral triangle is a triangle in which all three sides are equal. In traditional or Euclidean geometry, equilateral triangles are also equiangular; that is, all three internal angles are also congruent to each other and are each 60°. They are regular polygons, and can therefore also be referred to as regular triangles.

The altitude of the triangle represents the height  is the length of the corner of the equilateral triangle to the opposite base on the equilateral triangle. Due to its equilateral property for triangle, the above statement is same for all those three sides.

Derivation of the Formula for Equilateral Triangle Altitude:

The altitude h of an equilateral triangle is

                 h=s sin 60 degree
                   =1/2(√ 3)*a
Here considering 's' as the side since we take the equilateral triangle taking one side is enough. Using the trigonometric terms we calculate the altitude. Providing the value for the sine term it produces the formula. Hence we derived the formula from the way of introducing trigonometric terms.