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

[color=#1551b5] [i][b]- GOING FURTHER[br][br]Why does the applet behave as it does if you drag the GOLD dot to a point [br]where - [br] x>y, [br] y>1,[br] x+y<1[br][/b][/i][/color]