From a square we can draw a diagonal to create a 45°-45°-90° triangle. Is there anything special about the side lengths? Move the slider to change the side lengths of the square.

1. As you move the slider, record at least 3 different sets of side length values for segments AB, BC, and AC.[br][br]2. Using the three sets of side lengths you recorded, calculate sin(A), cos(A), and tan(A). Compare your sin, cos, and tan ratio values. Record any observations you have.[br][br]3. Using the three sets of side lengths you recorded, calculate sin(C), cos(C), and tan(C). Compare your sin, cos, and tan ratio values. Record any observations you have.[br][br]4. Compare your ratios in #2 to your ratios in #3. What do you notice?[br][br]5. What makes 45°-45°-90° triangles special?