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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