90 TRIANGLES (EACH 30-90 TRIANGLE HAS SIDES IN THE RATIO OF 1

60-90 triangles (Each 30-60-90 triangle has sides in the ratio of 1:

: 2). Because of this, the area for an equilateral triangle can be

expressed in terms of one side. If we call the side of the equilateral

triangle,

s, the height must be (s

) / 2 (using the 30-60-90

relationships).

The area of a triangle = 1/2 × base × height, so the area of an

equilateral triangle can be expressed as: 1/2 × s × (s

) / 2 .

Here the triangle has an area of

, so:

= 1/2 × s × (s

) / 2

s = 2

The correct answer is E.