Calculate area, perimeter, height, and angles of a rhombus from side length and diagonals
Area:
A = (d₁ × d₂) / 2
where d₁ and d₂ are the diagonals
Perimeter:
P = 4 × s
where s is the side length
Height:
h = A / s
where A is the area and s is the side length
Properties:
A rhombus is a quadrilateral (four-sided polygon) where all four sides have equal length. It's also known as a diamond shape. A rhombus has opposite angles that are equal, and its diagonals bisect each other at right angles.
A square is a special type of rhombus where all angles are 90 degrees. Every square is a rhombus, but not every rhombus is a square. In a rhombus, the angles can be any value, as long as opposite angles are equal and adjacent angles sum to 180 degrees.
The height of a rhombus is the perpendicular distance between two parallel sides. It can be calculated by dividing the area by the side length: h = A / s. The height is always less than or equal to the side length.
Rhombus shapes are found in various applications including jewelry design (diamond cuts), kite designs, tile patterns, logo designs, and architectural elements. They're also commonly seen in traffic signs and decorative patterns.
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High School Teacher
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Interior Designer
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