How to find minimum area of triange?

Question

How do you model the area of this triange and find the angle pheta (the angle on top) which gives the least area to the triangle

Here is the triangle

Basically, for what value of pheta wil the triangle have the smallest area possible

Pheta is the angle on top! Thats alot

http://tech.zeeblo.com/openpda/triangle.jpg -- the picture of the triangle, used Paint , sorry

Answer 1

If y is constant,
A = y^2/(4tan(θ/2))
A → 0 as θ → 180

If x is constant,
A = x^2sin(θ/2)cos(θ)
A → 0 as θ → 180
A → 0 as θ → 0

Answer 2

approaching 180deg