2018 AIME I Problems/Problem 15
Revision as of 10:01, 10 March 2018 by Willwin4sure (talk | contribs)
Suppose our four sides lengths cut out arc lengths of ,
,
, and
, where
. Then, we only have to consider which arc is opposite
. These are our three cases, so
Our first case involves quadrilateral
with
,
,
, and
.
Then, by Law of Sines, and
. Therefore,
so our answer is
.
By S.B. LaTeX by willwin4sure