Properties of a Parallelogram
This tool calculates the basic geometric properties of a parallelogram. Enter below the shape dimensions. The calculated results will have the same units as your input. Please use consistent units for any input.
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Side α =
Diagonal p =
Diagonal q =
Parallelogram is a quadrilateral shape with two pairs of parallel sides. The area of a parallelogram is given by the formulas:
where a, b the lengths of the sides and h the height, perpendicular to b.
The perimeter of a parallelogram is simply the sum of the lengths of all sides:
The length of the left and right sides α, can be expressed in terms of the angle φ1, using the right triangle, with hypotenuse α (see figure below):
Interior angle φ2 is supplementary with φ1. Therefore:
There are many ways to find the lengths of diagonals, once the sides or the interior angles are known. Here, a solution employing the Pythagorean Theorem on the highlighted right triangles (see next figure) is presented:
Similarly, the other diagonal is found as:
The centroid of parallelogram coincides with the point where diagonals cross each other. Measuring from the left vertex of base, xc and yc distances are:
where A is the area of the trapezoid.