Question

The height of an equilateral is 6cm. Find the area of the triangle.

Answer 1

area of an equalateral triangle is √3/4 ×a^2
where a= side
a=√28( by phytagorean theorem)

Answer 2

In an equilateral triangle the altitude h = √3 x a / 2 where a is the length of the side6=  √3 x a / 2  √3 x a = 2 x 6

a=  2 x √3 x √3 x 3 / √3a= 6 x √3 
Area of triangle = 1/2 x base x height 
base = a = 6 x √3h=6 
area = 1/2 x 6 x 6 x √3=18