Parallelogram Side Calculator: Find the Sides of a Parallelogram

In geometry, a side can be defined as a line connecting two vertices of a figure or two-dimensional figure. Our online calculator will help you find the side, edge of more than 11 shapes.

Parallelogram — is a quadrangle in which the opposite sides are pairwise parallel, that is, they lie on parallel lines. Particular cases of a parallelogram are a rectangle, a square, and a rhombus.

Calculating the length of the sides of a parallelogram can be a challenging task, especially if you are dealing with a large or irregularly shaped parallelogram. However, with our free online parallelogram side calculator, you can easily find the length of the sides of a parallelogram in just a few clicks.

Parallelogram Side Formulas

Knowing the diagonal of a parallelogram and one of its sides, you can find the second side. To do this, you need to extract the square root of half the sum of the squares of the diagonals minus twice the square of the known side. the formula is:

b = \sqrt{\dfrac{d_1^2 + d_2^2 - 2a^2}{2}}

where Side is the length of one of the sides of the parallelogram, Base is the length of the base of the parallelogram, and Height is the height of the parallelogram.

Example Problems

Here are some examples of how to use the formula to find the length of a side of a parallelogram.

Example 1

Find the length of side b in a parallelogram where the length of the oter side is 5 units, and the diagonals are 20 and 16 units.

b = \sqrt{\dfrac{20^2 + 16^2 - 25^2}{2}}

a ≈ 17.4

Therefore, the length of side b is 17.4 units.

Example 2

Find the length of side a in a parallelogram where the lengths of side b is 15 units and the diagonals are 30 and 19 units, respectively.

a = \sqrt{\dfrac{20^2 + 16^2 - 25^2}{2}}

a ≈ 20.1

Therefore, the length of side a is 20.1 units.

Use our free online calculator to find the length of the sides of a parallelogram. Simply enter the known side and dioganals lengths, and our calculator will use the formula to find the length of the other side.

Using our calculator can save you time and prevent calculation errors.