Equilateral Triangle: Area
How to find the area of an equilateral triangle: formula, 1 example, and its solution.
Formula
A = [√3/4]⋅a2
A: Height of an equilateral triangle
a: Side of an equilateral triangle
ExampleSide: 6, A = ?
Solution
Solution (Detail)
The given triangle is an equilateral triangle.
Its side is 6.
Then A = [√3/4]⋅62.
62 = 36
Cancel the numerator 4
and reduce 36 to, 36/4, 9.
So the area is
A = 9√3.