Like a rhombus, an equilateral triangle has congruent sides. Locate the third vertex point on an equilateral triangle, given [math]ST[/math] as one side of the equilateral triangle. Hint: Use the work we've done this week!
[list=a][*]Use the segment tool to sketch a diagram of a decomposition into six congruent triangles.[/*][*]Based on your sketch, mark a point as the center of the circle that would circumscribe the hexagon.[/*][*]Use a compass to draw the circle that would circumscribe the hexagon.[br][/*][/list]
Modify your work with the hexagon to construct an equilateral triangle inscribed in the given circle.
Strategies for constructing geometric figures:
What can we do to construct geometric figures?