2022 AMC 10B Problems/Problem 2
Revision as of 18:06, 17 November 2022 by Ehuang0531 (talk | contribs) (restored original not-to-scale figure in problem statement and moved to-scale figure to solution; ce)
Problem
In rhombus , point
lies on segment
so that
,
, and
. What is the area of
? (Note: The figure is not drawn to scale.)
Solution
(Figure redrawn to scale.)
is a rhombus, so
.
is a 3-4-5 right triangle, so
.
The area of the rhombus .
~richiedelgado