2024 AMC 12B Problems/Problem 15
Revision as of 01:02, 14 November 2024 by Mendenhallisbald (talk | contribs) (→Solution 1 (Shoelace Theorem))
Problem
A triangle in the coordinate plane has vertices ,
, and
. What is the area of
?
Solution 1 (Shoelace Theorem)
We rewrite:
.
From here we setup Shoelace Theorem and obtain:
.
Following log properties and simplifying gives (B).
~PeterDoesPhysics