Question

If x denotes the length of a side of an equilateral triangle, express the area of the triangle as a function of x.

Answer 1

Area of triangle is:
(1/2)*base*height

solve for the height of the triangle using the Pythagorean formula

Answer 2

So would the equation then be x/2^2 + h^2 = x^2?

Answer 3

yup. Now solve for h to get it in terms of x