Polya's Triangle Space
In his book Mathematical Discovery George Polya discusses the region
in the left hand panel bounded by the lines x≤y, y≤1 and x+y>1.
Clearly, placing the large GOLD point at 1,1 forms an equilateral triangle.
Suitably chosen points will determine isosceles triangles and right triangles.
Can any shape triangle be formed by placing the large GOLD point
somewhere in the region or on its boundary?