Short Edge of Parallelogram given Height to Long Edge and Acute Angle between Sides Calculator

Calculate Short Edge





Formula

The formula to calculate the Short Edge of Parallelogram is:

\[ eShort = \frac{hLong}{\sin(\angle Acute)} \]

Definition

Short Edge of Parallelogram is the length of the shortest pair of parallel edges in a Parallelogram. Height to Long Edge of Parallelogram is the perpendicular distance between the longest pair of parallel edges of a Parallelogram. Acute Angle of Parallelogram is the measure of pair of opposite angles which are less than 90 degrees in a Parallelogram.

Example Calculation

Let's assume the following values:

Using the formula:

\[ eShort = \frac{5}{\sin(0.785398163397301)} = 7.07106781186652 \]

The Short Edge is 7.07106781186652 Meters.

Conversion Chart

Height to Long Edge (Meters) Acute Angle (Radians) Short Edge (Meters)
4 0.7853981633973 5.656854249493214
4.5 0.7853981633973 6.363961030679866
5 0.7853981633973 7.071067811866517
5.5 0.7853981633973 7.778174593053169
6 0.7853981633973 8.485281374239820