Difference between revisions of "2021 JMPSC Sprint Problems/Problem 16"
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Revision as of 16:17, 11 July 2021
Problem
is a concave quadrilateral with
,
,
, and
. Find the area of
.
Solution
Notice that and
by the Pythagorean Thereom. We then have that the area of triangle of
is
, and the area of triangle
is
, so the area of quadrilateral
is
.
~Mathdreams
See also
The problems on this page are copyrighted by the Junior Mathematicians' Problem Solving Competition.