Darcy mounted a motion sensor so it would light a path to the door on her deck. If you know segment AB equals 10 feet, and segment BE and segment BD trisect angle ABC, what is the perimeter of the deck area to the right of the beam light (triangle be DC)? part 1.) what other angles or sides of triangle BDC can you label given that side segment AB is 10 feet, segment BE and segment BD trisect angle ABC? label the diagram accordingly and explain your answer.
part 2.) use the trigonometric ratio 30° and 60° to calculate and label the remaining sides of triangle BDC. Show your work.
part 3.) use the Pythagorean theorem to calculate the side of BD. Does the method verify the length you found using trigonometric ratios?
part 4.) what is the perimeter of the area to the right of the beam of the light on Darcys deck (triangle BDC)? show your work. Use your calculator to round your final answer to the nearest foot.