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A rhombus therefore has all of the properties of a parallelogram: for example, opposite sides are parallel; adjacent angles are supplementary; the two diagonals bisect one another; any line through the midpoint bisects the area; and the sum of the squares of the sides equals the sum of the squares of the diagonals (the parallelogram law).
The area of the parallelogram is the area of the blue region, which is the interior of the parallelogram. The base × height area formula can also be derived using the figure to the right. The area K of the parallelogram to the right (the blue area) is the total area of the rectangle less the area of the two orange triangles. The area of the ...
A rhombus is an orthodiagonal quadrilateral with two pairs of parallel sides (that is, an orthodiagonal quadrilateral that is also a parallelogram). A square is a limiting case of both a kite and a rhombus. Orthodiagonal quadrilaterals that are also equidiagonal quadrilaterals are called midsquare quadrilaterals. [2]
The following is a list of second moments of area of some shapes. The second moment of area , also known as area moment of inertia, is a geometrical property of an area which reflects how its points are distributed with respect to an arbitrary axis.
3 Surface area. 4 Special cases by symmetry. 5 Perfect parallelepiped. 6 Parallelotope. ... and the rhombohedron (six rhombus faces) are all special cases of ...
Area is the measure of a region's size ... a figure with given perimeter L could have an arbitrarily small area, as illustrated by a rhombus that is "tipped over ...
A rhombus so obtained is called a golden rhombus. ... If the edge length of a rhombic triacontahedron is a, surface area, volume, the radius of an inscribed sphere ...
The golden rhombus. In geometry, a golden rhombus is a rhombus whose diagonals are in the golden ratio: [1] = = + Equivalently, it is the Varignon parallelogram formed from the edge midpoints of a golden rectangle. [1]