Converse of Pythagorean Theorem

Drag point A so that [math]\angle[/math]C is obtuse (greater than 90).[br]Compare [math]A^2+B^2[/math] to [math]C^2[/math]. Is [math]C^2[/math] greater than or less than [math]A^2+B^2[/math]?[br][br]Drag point A so that [math]\angle[/math]C is acute (less than 90).[br]Compare [math]A^2+B^2[/math] to [math]C^2[/math]. Is [math]C^2[/math] greater than or less than [math]A^2+B^2[/math]?[br][br]Drag point A so that [math]\angle[/math]C is right (equal to 90).[br]Compare [math]A^2+B^2[/math] to [math]C^2[/math]. What do you notice?