Free · Mathematical relationships

Parallelogram Area from Height, Sides or Diagonals

Perpendicular height determines parallelogram area with the base. Other modes use two sides and their included angle, or two diagonals and their included angle.

Formula & worked example
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Enter the known values in the units shown. Results update as you type.
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Formula and method

With given = 0, base = 6, height = 4, area_1 = 24.

A = bh = ab sin(θ) = d₁d₂ sin(φ)/2

Worked example

Enter these known values and leave the other values blank.

Given: 0
Base (b): 6 cm
Height (h): 4 cm

Area: 24 cm²

Assumptions and limitations

Perpendicular height determines parallelogram area with the base. Other modes use two sides and their included angle, or two diagonals and their included angle.
Enter enough independent values and clear the quantity being solved. Locks preserve known values; contradictory inputs can make the system inconsistent. Unit controls convert physical quantities rather than merely changing their labels.
Displayed precision is numerical rounding, not an estimate of measurement uncertainty.

Common questions

How do I solve for a missing quantity?

Clear the missing value, enter the independent known values and retain compatible units. A nonunique inverse may require another known value.

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