Rhombus

A rhombus is a four-sided geometric shape whose four sides have the same length. Like every parallelogram, it has two pairs of opposite sides that are parallel. Its opposite angles are equal, while two neighboring angles add up to 180 degrees. A rhombus can look like a tilted square, but the two shapes are not necessarily the same: a square has four right angles, whereas a general rhombus does not.

The diagonals of a rhombus connect opposite vertices. They cross at their midpoints and are perpendicular to each other, which means they meet at a right angle. These properties make the rhombus easy to recognize and useful for studying symmetry and geometric relationships. The area of a rhombus can be calculated in several ways.

If the lengths of its diagonals are known, the formula is A = (d₁ × d₂) / 2. For example, diagonals measuring 8 cm and 6 cm give an area of 24 cm². When the side length and the corresponding height are known, the area can also be found with A = b × h, where b is the side used as the base and h is the perpendicular height.

The perimeter is simpler: because all four sides are equal, it is P = 4 × s, where s is the side length. Rhombuses appear in patterns, tiles, signs and decorative designs, making this shape familiar both in geometry and in everyday surroundings.