Parallelogram Formulas

Posted In: Mathematics

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Parallelogram


Sides of parallelogram: a,b
Diagonals: d1,d2
Consecutive angles: α,β
Angle between the diagonals: φ
Altitude: h
Perimeter: L
Area: S

  1. $α+β=180°$
  2. $d_1^2+d_2^2=2(a^2+b^2)$
  3. $h=b\ sin\ α=b\ sin\ β$
  4. $L=2(a+b)$
  5. $S=ah=ab\ sin\ α,$
    $S=1/2d_1d_2\ sin\ φ$

Post Tags: Geometry


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