Rhombus
A rhombus is a special type of parallelogram where all four sides are equal in length
A rhombus is a special type of parallelogram where all four sides are equal in length. It also has some unique properties that differentiate it from other shapes.
Characteristics of a Rhombus:
1. All sides of a rhombus are congruent, meaning they have the same length.
2. Opposite sides of a rhombus are parallel to each other.
3. Opposite angles of a rhombus are congruent. This means that if one angle measures, for example, 60 degrees, then the opposite angle will also measure 60 degrees.
4. The diagonals of a rhombus bisect each other at right angles. This means that the diagonals intersect at a 90-degree angle, splitting each other into two equal parts.
5. The diagonals of a rhombus are not equal in length, unlike in a square.
6. The sum of adjacent angles in a rhombus is always 180 degrees. This property is also true for all parallelograms.
Calculating Area of a Rhombus:
The formula to find the area of a rhombus is:
Area = (diagonal 1 × diagonal 2) / 2
Both diagonals have to be known in order to use this formula. Diagonal 1 refers to one of the diagonals, and diagonal 2 refers to the other diagonal.
For example, let’s suppose we have a rhombus with a diagonal 1 length of 8 units and diagonal 2 length of 6 units. We can calculate the area as follows:
Area = (8 × 6) / 2 = 48 / 2 = 24 square units
So, the area of this rhombus would be 24 square units.
Calculating Perimeter of a Rhombus:
To find the perimeter of a rhombus, you need to know the length of one of its sides. Since all sides of a rhombus are equal, you can use the following formula:
Perimeter = 4 × side length
For instance, if the length of one side of a rhombus is 10 units, then its perimeter can be calculated as:
Perimeter = 4 × 10 = 40 units
So, the perimeter of this rhombus would be 40 units.
Remember to employ these formulas and properties when solving problems or dealing with concepts related to rhombuses.
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