Difference between revisions of "2024 AMC 12B Problems/Problem 15"
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Revision as of 01:06, 14 November 2024
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).
~MendenhallIsBald