As far as Euclidean geometry is concerned a rhombus is a form of the quadrilateral. It’s a specific example of a parallelogram in which the diagonals cross at 90 degrees. This is the basic characteristic of the rhombus. In appearance, a rhombus is similar to a diamond. As a result, it is also known as a diamond. Because all of its sides are the same length, a rhombus is also known as an equilateral quadrilateral. The name ‘rhombus’ is derived from the ancient Greek word ‘rhombus,’ which literally means “to go round and round”.

Area of Rhombus

The area of a rhombus in two-dimensional space can be explained as the amount of space enclosed by a rhombus. The area of a rhombus, which is shaped like a diamond, can be calculated in a variety of methods.

There are two techniques to calculate and measure the area of a rhombus. The first step is to multiply the diagonals of a rhombus, which are the two crossing lines that form a cross shape. If the horizontal diagonal is 5 cm and the vertical diagonal is 6 cm, the rhombus in question has a 30 cm2 area.

The second method for calculating and measuring the area of a rhombus is to use the base and height. Multiply the base and height, just like you did with the diagonals, to get the area. A rhombus with an 8-cm base and a 12-cm height has a surface area of 96 cm2.

Definition of Rhombus

A rhombus is an example of a quadrilateral with four sides that is a similar case of a parallelogram. On a rhombus, the opposing sides are parallel, and the opposing angles are equal. Furthermore, all of a rhombus’s sides are the same length, and the diagonals bisect each other at right angles. A square and a rhombus differ in that a square’s angles must all be right angles, whereas a rhombus’ angles do not have to be perfect angles. As a result, a right-angled rhombus becomes a square. Every square is a rhombus, but not all rhombus are squares. A rhombus can alternatively be referred to as a diamond or a rhombus diamond. The plural form of the rhombus is rhombuses.

Properties of Rhombus

  • The rhombus has an equal number of sides.
  • A rhombus’s opposite sides are parallel.
  • A rhombus’s opposite angles are equal.
  • When you add two adjacent angles in a rhombus it is 180°.
  • A rhombus has four interior angles: two obtuse angles and two acute angles.
  • There are four vertices in a rhombus.
  • A rhombus has two symmetry lines.
  • The diagonals are not equal in length; one is shorter than the other. Angles perpendicular to the longer diagonal are larger than angles perpendicular to the shorter diagonal.

Angular Properties of Rhombus

The following are some interesting rhombus angles facts:

  • In a rhombus, there are four inner angles.
  • The total of a rhombus’ inner angles is 360 degrees.
  • A rhombus’s opposite angles are equal to each other.
  • In a rhombus, the angles adjacent to each other are supplementary.
  • In a rhombus, diagonals intersect at 90 degrees.
  • Each of a rhombus’ angles is bisected by its diagonals.

Real-life Examples of a Rhombus

Rhombus can be found in many things around us, including a kite, automobile windows, rhombus-shaped earrings, building structures, mirrors, and even a piece of a baseball field. The Rhombus shape can also be seen in a number of well-known architectural structures around the world. The Rhombic shape is so popular because it is symmetrical and has a very attractive and pleasing shape. Because all four sides of the Rhombus are equal, the shape is also geometrically viable.

Want to learn more about rhombus, visit the Cuemath website for more information.

Huynh Nguyen

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