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.