The area of rhombus is a topic in geometry that discusses the amount of space enclosed by a rhombus. However, the rhombus must be drawn on a two-dimensional surface. It is a geometrical figure having equal sides. A rhombus may look like a square, but the measurements of its internal angles differ from a square.
Different ways are there to calculate the area of a rhombus. There are specific formulas to calculate the angles, sides, and area. The following properties can clearly define a rhombus.
- A rhombus is an equilateral quadrilateral with all sides having equal length
- The diagonals of a rhombus bisect each other at right angles
- The diagonals are angle bisectors
- Various ways can help find the area of rhombus: using base and height, using diagonals, and the trigonometry
How to calculate the area?
Three methods can be used to find the area of a rhombus, including:
- Using base and height
Students can use the following steps to find the area:
- Find the base and height of the given rhombus. Consider one side of the rhombus as the base and the perpendicular distance from the chosen base to the opposite side is the height.
- Then multiply the base and height to find the area.
- Using diagonals
Follow the steps mentioned below to find the area.
- Find the length of two diagonals, d1 and d2
- Multiply the lengths of two diagonals and then divide the result by 2 to get the area
- Using trigonometry
Follow these steps:
- Square the length of any of the sides
- Then multiply the result by the sine of any one of the angle
It is a crucial topic for mathematic students and they must learn the concept to perform well in exams. Attempt practice questions to ace the concept.
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