Deriving the Formula for the Area of a Parallelogram
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The Demonstration shows a graphics derivation of formula for the area of the parallelogram given by points ,
,
, and
, namely
. The area of triangle
,
,
is
. Since the expression
could be negative, it gives the so-called signed area.
Contributed by: Izidor Hafner (April 2013)
Open content licensed under CC BY-NC-SA
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The expression is the determinant of the 2×2 matrix
.
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