rhombus
A rhombus is a quadrilateral with all sides of equal length
A rhombus is a quadrilateral with all sides of equal length. It is also a parallelogram because opposite sides are parallel to each other.
There are several properties and formulas related to a rhombus:
1. Side Lengths: In a rhombus, all four sides are equal in length. You can denote the side length as “s”.
2. Diagonals: The diagonals of a rhombus bisect each other at a right angle. Let’s call the longer diagonal “d1” and the shorter diagonal “d2”.
3. Diagonal Lengths: The lengths of the diagonals can be found using the Pythagorean theorem. The formula for the lengths of the diagonals are:
– d1 = 2s√2
– d2 = 2s√2
4. Area: The area of a rhombus can be calculated using the formula:
– Area = (d1*d2) / 2 = s^2
5. Perimeter: The perimeter of a rhombus can be calculated by summing the lengths of all four sides:
– Perimeter = 4s
6. Angles: The opposite angles of a rhombus are equal. Each angle is 90 degrees, making it a special type of quadrilateral called a “rectangle.”
7. Interior Angles: The sum of all four angles in a rhombus is always 360 degrees.
8. Special Case: If the diagonals of a rhombus are equal in length and bisect each other at right angles, then the rhombus is a square. A square is a special type of rhombus where all angles are 90 degrees.
These are some of the main properties and formulas related to a rhombus. If you have any specific questions or need a further explanation, please let me know.
More Answers:
Understanding Opposite Sides in Geometry: Congruent and Parallel Properties in Rectangles and ParallelogramsUnderstanding Vertical Angles: Properties, Examples, and Applications in Geometry
Understanding Consecutive Angles: Types, Relationships, and Applications