Inscribed Quadrilateral

Problem

In the figure on the left, ABC is equilateral, and B, C, D are collinear.
Given a equilateral triangle, ADE, find the relation of four points A, C, D, and E.

Using the applet of Inscribed Quadrilateral

In this applet you can explore the relation of four points A, C, D, and E, dragging the point D.
The button of "Init" is for replacing the figure in the initial state.
If you can't figure the relation out, click the button of "Hint", then try to find it again.
When you click the button of "Hint", the button of "Ans." will be appeared at the same time.
The button of "Ans." show the answer of this problem.

Applet of Inscribed Quadrilateral

Explore