2017 AMC 8 Problems/Problem 18
Problem 18
In the non-convex quadrilateral shown below,
is a right angle,
,
,
, and
.
What is the area of quadrilateral
?
Solution
We can see a Pythagorean triple's two longer lengths: ,
. So
should be
. This is certainly the case because
, which is
. Thus the area of quadrialteral ABCD is
See Also
2017 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 17 |
Followed by Problem 19 | |
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