Rhombus

Written by Jerry Ratzlaff on . Posted in Plane Geometry

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  • Rhombus is a quadrilateral with two pair of parallel edges.
  • All edges are equal in length and opposite angles are equal.
  • Edge \(\; a=b=c=d \;\)
  • Angle \(\; x=z \;\) and \(\; y=w\)
  • 2 diagonals
  • 4 edges
  • 4 vertexs

Edge formula

\(a = \frac {P} {4} \)

\(a = \frac { \sqrt { {D1}^2 + {D2}^2 } } { 2 } \)

Where:

\(a\) = edge

\(P\) = perimeter

\(D1\) = diagonal

\(D2\) = diagonal

Diagonal formula

\(p_1 = 2 \frac {A}{D2} \)

\(p_2 = 2 \frac {A}{D1} \)

Where:

\(D1\) = diagonal

\(D2\) = diagonal

\(A\) = area

Perimeter formula

\(P = 4a \)

Where:

\(P\) = perimeter

\(a\) = edge

Area formula

\(A= \frac {D1 D2 } {2} \)

Where:

\(A\) = area

\(D1\) = diagonal

\(D2\) = diagonal