Mark H. answered • 9d

Tutoring in Math and Science at all levels

You get the height using the Pythagorean Theorem:

a^{2} = h^{2} + (a/2)^{2}

h^{2} = a^{2} - (a/2)^{2} = 3a^{2} / 4

h = (a/2)*√3

The area is base*height / 2

Use base = a, and the equation for height in terms of a, and you will have the area as a function of a. A similar process will get you the area as a function of h.