2024 AMC 12B Problems/Problem 15: Difference between revisions
| Line 18: | Line 18: | ||
From here we setup Shoelace Theorem and obtain: | From here we setup Shoelace Theorem and obtain: | ||
<math>\frac{1}{2}(2(\log _{2} 3) - log _{2} 7)</math> | <math>\frac{1}{2}(2(\log _{2} 3) - log _{2} 7)</math>. | ||
Following log properties and simplifying gives (B). | Following log properties and simplifying gives (B). | ||
~PeterDoesPhysics | ~PeterDoesPhysics | ||
Revision as of 01:02, 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).
~PeterDoesPhysics
