Line segment AB is drawn in the plane. Where should point C be placed so that triangle ABC is a right triangle? so that it is an isosceles triangle? so that it is obtuse? This activity will allow you to explore these questions.
BEFORE using the Show/Hide buttons, try to answer the following questions. Then, use the applet to prove (or disprove) your conjectures.
After using the Show/Hide buttons (the paths should remain on the screen), answer the following question.