From an equilateral triangle we can draw an angle bisector of angle A, which is also a perpendicular bisector of line segment DB to create a 30°-60°-90° triangle. Is there anything special about the side lengths? Move the slider to change the side lengths of the equilateral triangle.

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(CAB), cos(CAB), and tan(CAB). 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(ABC), cos(ABC), and tan(ABC). 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 30°-60°-90° triangles special?