Parallelogram Calculator

Calculate parallelogram properties: area, perimeter, diagonals, and angles. Enter base, side, height, and angle to get all measurements instantly.

Input Dimensions

cm
cm
cm
degrees
010

Parallelogram Diagram

b = 10 cmha60d1d2
Dimensions
Height (h)
Diagonal (d1)
Diagonal (d2)

Results

Area (A)
0
cm²
Perimeter (P)
0
cm
Diagonal 1 (d1)
0
cm
Diagonal 2 (d2)
0
cm
Angle (given)
60°
Acute/obtuse angle
Adjacent Angle
0°
180° - angle (supplementary)

Special Cases

Parallelogram Formulas

A = b × h
Area = Base × Height
P = 2(a + b)
Perimeter = 2 × (Side + Base)
d1 = √(a²+b²+2ab·cosθ)
Long diagonal formula
d2 = √(a²+b²-2ab·cosθ)
Short diagonal formula
α + β = 180°
Adjacent angles are supplementary
d1² + d2² = 2(a²+b²)
Diagonal relationship

About Parallelogram Calculations

A parallelogram is a quadrilateral with two pairs of parallel sides. Opposite sides are equal in length, and opposite angles are equal. Adjacent angles are supplementary (sum to 180 degrees). The diagonals of a parallelogram bisect each other.

Key Properties

  • Base (b): One of the parallel sides
  • Side (a): The adjacent side to the base
  • Height (h): Perpendicular distance between parallel sides
  • Diagonals: Bisect each other but are not equal
  • Angles: Opposite equal, adjacent supplementary

Special Types

  • Rectangle: All angles are 90 degrees
  • Rhombus: All sides are equal length
  • Square: Both rectangle and rhombus (all angles 90, all sides equal)
  • General: No right angles, unequal sides