Parallelogram

Written by Jerry Ratzlaff. Posted in Plane Geometry

parallelogram 2parallelogram

  • Parallelogram is a quadrilateral with two pair of parallel edges.
  • Opposite angles equal, having more or less 90°.
  • Edge \(\; a=c \;\) and \(\; b=d\)
  • Angle \(\; x=z \;\) and \(\; y=w\)
  • 2 diagonals
  • 4 edges
  • 4 vertexs

Edge formula

\(a = \frac {P}{2} - b \)

\(b = \frac {P}{2} - a \)

\(b = \frac {A}{h} \)

Where:

\(a\) = edge

\(b\) = edge

\(h\) = height

\(P\) = perimeter

\(A\) = area

Height formula

\(h = \frac {A}{b} \)

Where:

\(h\) = height

\(A\) = area

\(b\) = edge

Perimeter formula

\(P = 2 \left( a+b \right) \)

Where:

\(P\) = perimeter

\(a\) = edge

\(b\) = edge

Area formula

\(A=bh \)

Where:

\(A\) = area

\(b\) = edge

\(h\) = height