Parallelogram calculator

Opposite sides parallel and equal. Enter base, height, side length and (optionally) the angle between sides to get area, perimeter and both diagonals.

Area (b × h)
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Area (b·s·sin θ)
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Perimeter
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Diagonal p
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Diagonal q
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Sum of squares
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Formulas

  • Area (height-based): A = b × h
  • Area (sides + included angle): A = b · s · sin θ
  • Perimeter: P = 2(b + s)
  • Diagonals: p = √(b² + s² − 2·b·s·cos θ), q = √(b² + s² + 2·b·s·cos θ)
  • Identity: p² + q² = 2(b² + s²)