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A hexagon with exactly one pair of perpendicular sides is a six-sided polygon where only one pair of adjacent sides meet at a right angle (90 degrees), while the other four sides do not form any right angles with each other or with the perpendicular pair. This configuration leads to a less regular shape compared to a standard hexagon. The specific arrangement of the remaining sides can vary, resulting in different types of hexagons that still adhere to the one pair of perpendicular sides criterion.
The most obvious types of quadrilaterals that have perpendicular diagonals are those with two pairs of adjacent sides the same length - squares, rhombuses, and "kite" shapes.These are all special cases of "orthodiagonal" quadrilaterals. All orthodiagonal quadrilaterals will adhere to the rule that the sum of the squares of the lengths of two opposite (nonadjacent) sides will equal the sum of the squares of the lengths of the other two sides; for successive sides of lengths a, b, c, and d, we have:a2 + c2 = b2 + d2This formula will be true for all orthodiagonal quadrilaterals and any quadrilateral for which this is true will be orthodiagonal (i.e. the diagonals will be perpendicular).
The first ten polygons in order of names and sides are as follows:- Triangle has 3 sides Quadrilateral has 4 sides Pentagon has 5 sides Hexagon has 6 sides Heptagon has 7 sides Octagon has 8 sides Nonagon has 9 sides Decagon has 10 sides Undecagon has 11 sides Dodecagon has 12 sides
It has 7 sides
Triangle: 3 sides Quadrilateral: 4 sides Pentagon: 5 sides Hexagon: 6 sides Heptagon: 7 sides Octagon: 8 sides Nonagon: 9 sides Decagon: 10 sides And there are many more