rhombus
A rhombus is a type of quadrilateral that has all four sides of equal length
A rhombus is a type of quadrilateral that has all four sides of equal length. It also has opposite sides that are parallel to each other. Additionally, the opposite angles of a rhombus are equal.
Here are some key properties of a rhombus:
1. Side Length: All four sides of a rhombus are equal in length. Let’s denote this length as “s”.
2. Diagonals: The diagonals of a rhombus bisect each other at right angles. This means that when the diagonals intersect, they create four right angles.
3. Diagonal Length: The length of a diagonal can be found using the Pythagorean Theorem. Let’s denote the length of one diagonal as “d1” and the length of the other diagonal as “d2”. The relationship between the side length and diagonal length can be calculated using the formula:
d1^2 = (s/2)^2 + (s/2)^2 = (s^2)/4 + (s^2)/4 = (2s^2)/4 = s^2/2
Similarly, d2^2 = s^2/2.
4. Area: The area of a rhombus can be found using the formula: Area = (d1 * d2) / 2. Since the diagonals of a rhombus are perpendicular bisectors, the product of the diagonals divided by 2 gives the area of the rhombus.
5. Perimeter: The perimeter of a rhombus can be calculated by multiplying the length of one side by 4. Perimeter = 4s.
It’s important to note that a rhombus is a special type of parallelogram. Therefore, it shares some properties with parallelograms, such as opposite sides being parallel and opposite angles being equal.
I hope this helps! Let me know if you have any further questions.
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