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Rhomboid area


Rhomboid or deltoid is a convex quadrilateral that is symmetric with respect to at least one of its diagonals (meaning adjacent sides are equal, and diagonals intersect at a right angle).

Special cases of a rhomboid:

  • A rhomboid with sides of equal length is called a rhombus.
  • A rhomboid with angles equal is called a square.

Area of a Rhomboid

Area of a rhomboid through diagonals:

$$S=\frac{d_{1} \times d_{2}}{2},$$


where d1, d2 are the diagonals of the rhomboid.

Area of a rhomboid through two sides and the included angle:

$$S=ab \times \textrm{sin}(\phi),$$


where,

a, bā€” different sides of the rhomboid.
φā€” the angle between the sides.


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