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The Area of a Triangle Using a Determinant
The area of a triangle with vertices at the coordinates
,
, and
is the absolute value of
.
Contributed by:
George Beck
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DETAILS
For how to calculate a 3×3 determinant, see the first two related links.
RELATED LINKS
3×3 Determinants Using Diagonals
(
Wolfram Demonstrations Project
)
3×3 Determinants by Expansion
(
Wolfram Demonstrations Project
)
Triangle Area
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Area of a Triangle Using a Determinant
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheAreaOfATriangleUsingADeterminant/
Contributed by:
George Beck
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Algebra
Area
Plane Geometry
High School Advanced Calculus and Linear Algebra
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Related Curriculum Standards
US Common Core State Standards, Mathematics
HSN-VM.C.12
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