Q:

# If I am given the diagonals of a rhombus, how do I find the perimeter?

A:

Find the perimeter of a rhombus by taking half of each diagonal, summing their squares, square-rooting the result and finally multiplying by four. This method is derived from using the Pythagorean Theorem on one of the right triangles created by the diagonals in order to determine the length of one side. Since the sides of a rhombus are equal in length, multiplying that side by four equals the rhombus' perimeter.

## Keep Learning

Since all four triangles created by the diagonals are congruent, any one of them can be used to find the perimeter. A rhombus is a geometric shape that is classified as a simple quadrilateral with all four sides having the same length. In terms of classification, every rhombus is a parallelogram, and a special rhombus where all the angles are equal to 90 degrees is classified as a square. Rhombi are also called diamonds when their four angles equal 60 degrees and are known as a lozenge when the angles are equal to 45 degrees. In a rhombus, the two diagonals are perpendicular to each other and bisect the opposite angles. It can be proven using congruent triangles that a rhombus is symmetric across its diagonals. This contrasts with a kite, where although the diagonals are perpendicular, only one of them is a line of symmetry.

Sources:

## Related Questions

• A: When the lengths of all sides of a triangle are added, the result is called the perimeter of the triangle. In general, a perimeter is the distance of the c... Full Answer >
Filed Under:
• A: In an octagon, there are six triangles formed when diagonals are drawn from each vertex. An octagon is a figure that consists of eight straight sides, and ... Full Answer >
Filed Under:
• A: A triangle has zero diagonals. Diagonals must be created across vertices in a polygon, but the vertices must not be adjacent to one another. A triangle has... Full Answer >
Filed Under:
• A: A pentagon has five diagonals on the inside of the shape. The diagonals of any polygon can be calculated using the formula n*(n-3)/2, where "n" is the numb... Full Answer >
Filed Under:
PEOPLE SEARCH FOR