Look at it the other way. Draw a hexagon, and draw two horizontal lines, in each case from one vertex to another one. That way you'll see how to divide the hexagon into a rectangle (not necessarily a square), and two triangles - which, of course, you can combine again to form the hexagon.
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a pextongon
You need at least four triangles, or at least three trapeziums. Or two triangles and one trapezium.
There are many possible answers.Three squares will form an L shaped hexagon - a concave hexagon. Three rectangles, if of the correct dimensions will also do so. A quadrilateral and two triangles is another possible answer. Three rhombi,
To form a hexagon, you would need a total of 6 triangles. Each side of the hexagon would be made up of one triangle, so when you combine all six sides, it creates a hexagon. This is because a hexagon is a polygon with six sides and six angles, and each side is made up of a single triangle.
Two isosceles right triangles, if joined hypotenuse-to-hypotenuse will make a square. Two squares, sided by side, make a rectangle which is a parallelogram, and not a square.