It would look a bit weird, but the only way to achieve this is by curving the sides or by making a concave hexagon.
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If the triangle and hexagon are equilateral, then the trapezoid is not like the others because all of its angles are not equal. A rectangle will have 4 equal right angles. An equilateral triangle will have 3 equal acute 60 degree angles. An equilateral hexagon will have 6 equal obtuse 120 degreeangles.
A regular hexagon (all sides and angles congruent) has no right angles, although it's possible that an irregular hexagon could. All hexagons have six sides and six angles. The angles must add up to 720°. So it would be possible to have as many as 5 angles equal 90° (5 x 90° = 450°), and one angle equal 270° (450° + 270° = 720°).Take a rectangle then cut a rectangular notch at one of the corners. You now have 6 sides and 6 angles. Five of the angles are right angles (90°). The sixth angle looks like a right angle, but it is 'cut in' (the polygon is concave, now): the measure of this angle is 270°.
A trapezoid can't have three right angles. A quadrilateral with three right angles must have a total of four right angles, since a quadrilateral's interior angles add up to 360. 360 - (3*90) = 90, so the fourth angle would have to be right as well. A quadrilateral with four right angles is not a trapezoid; instead it is a rectangle or a square.
Well, isn't that just a happy little shape! When you have a hexagon with exactly one pair of perpendicular sides, you have a special hexagon called a "rectangular hexagon." It's like nature decided to add a little twist to the usual hexagon shape, creating something unique and beautiful. Just remember, in the world of shapes, there's always room for a little bit of creativity and surprise!
Right angles are 90 degrees. | | | | | _________ This is what a right angle looks like.