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 first connect point with point . We can see that it is a 3-4-5 right triangle. Using Pythagorean triples, we see that is a right triangle [I NEED SOMEBODY TO PROVE THIS] , therefore is . With these lengths, we can solve the problem. The area of is , and the area of the smaller 3-4-5 triangle is . Thus, the area of quadrialteral is
See Also
2017 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 17 |
Followed by Problem 19 | |
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