Shoelace Theorem
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The Shoelace Theorem is a nifty formula for finding the area of a polygon given the coordinates of its vertices.
Contents |
Theorem
Suppose the polygon 
has vertices 
, 
, ... , 
, listed in clockwise order. Then the area of is
The Shoelace Theorem gets its name because if one lists the the coordinates in a column,
and marks the pairs of coordinates to be multiplied, the resulting image looks like laced-up shoes.
Proof
This proof is incomplete. You can help us out by completing it.
Problems
Introductory
In right triangle 
, we have 
, 
, and 
. Medians 
and 
are drawn to sides 
and 
, respectively. and intersect at point 
. Find the area of 
.
This article is a stub. Help us out by expanding it.
