*ABC*is an equilateral triangle. Point

*D*is a point in the same plane and three segments are connected to it where each segment is perpendicular to a side of the triangle as shown.

1.) Move

*A*or

*B*to choose the size of the equilateral triangle.

2.) Move point

*D*. What do you observe.

3.) Repeat 1 and 2 several times. Is your observation still the same?

4.) Make a conjecture about your observation and try to see if you can prove it.

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