How to use this calculator
- Identify the measurements labelled Side a, Perpendicular height h. Check whether the figure satisfies the assumptions described below.
- Enter positive measurements in a common unit. Use the degree symbol convention for angles. Ratios such as eccentricity have no unit.
- Select Calculate. Inspect the result labels: lengths, areas and volumes have different dimensions. Copy the output or print the page if you need a record.
The formula
Side a = 5; Perpendicular height h = 4
Worked example
For Side a = 5 cm, Perpendicular height h = 4 cm, applying the displayed relationship gives side ≈ 5 cm. The remaining related measurements appear in the result panel. The example uses ideal dimensions and rounds only for display.
Model and limitations
Its diagonals bisect each other at right angles and bisect opposite interior angles. The area can be obtained from half the product of the diagonals or from side squared times the sine of an interior angle.
Perpendicular height is at most a side length. Diagonals need not have equal lengths. Inputs are limited to 10⁹ for lengths, 10¹⁸ for areas and 10²⁷ for volumes. Extremely thin or nearly degenerate figures may lose numerical accuracy; avoid treating displayed rounding as a measurement tolerance.