You start creating a concave hexagon from four triangles by placing the smallest triangle in the middle to serve as a base for the other three. Line up the bases on each triangle with the sides of the smallest one to end up with six sides forming a concave hexagon.
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Put four equilateral triangles so that each one of them has a vertex at a single point and the triangles abut one another. The shape will be 4/6 (= 2/3) of a regular hexagon.
Depending on the individual shapes, you can make a large triangle, a square or any other quadrilateral, a regular or irregular pentagon or hexagon. If concave shapes are allowed, you can make any polygon upto a decagon.
two squares and two triangles
A hexagon has six sides, each of which can be considered as a base for a right triangle. In a right triangle, the side opposite the right angle is the hypotenuse. Therefore, a hexagon has six hypotenuses, one for each of its sides.
Two trapezoids can make up a hexagon.