#### Answer

Draw a circle that has its highest point a point A and that surrounds the triangle. Then, draw a line from point A to the lowest point on the circle. The point where this line intersects BC is point D.

#### Work Step by Step

This process works because when these circles are drawn, they make a line that is centered on point A and that is the perpendicular bisector to line segment BC. This allows line segment AE, the one being drawn, to meet the given requirements.