Use an equilateral triangle where all 3 sides are represented by x, and the perpendicular bisector is represented by y.

(a) Find y in terms of x. (x is the length of a side, y is the length of the perpendicular bisector)

(b) Find the area A in terms of x. (Hint: Pythagoras.)

(a) y(x)=

(b) A(x)=