Question 1103623
The area of a triangle is not base * height. It is:
A = 1/2(b*h)
---------------------------------------------
- All sides of an equilateral triangle are the same length. So we call it the side length as opposed to, for example, the base, side, hypotenuse in a right triangle.
.
- The interior angles of an equilateral triangle are each 60º.
.  
- When drawing the height you are cutting the base in half (see pic below), so you end up with two identical right triangles with angles 30-60-90. 
. 
- Let's call the side lengths s. The ratio of a 30-60-90 is 1:sqrt(3):2 (all you need to know here is that this translates into the height of an equilateral is:
h = s/2*sqrt(3), then s = h/sqrt(3). With this information, calculate the area: 
A = 1/2(s*h) 
*[illustration Capture.JPG]