2009 AMC 12B Problems/Problem 16
Contents
[hide]Problem
Trapezoid has , , , and . The ratio is . What is ?
Solutions
Solution 1
Extend and to meet at . Then
Thus is isosceles with . Because , it follows that the triangles and are similar. Therefore so
Solution 2
See also
2009 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 15 |
Followed by Problem 17 |
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All AMC 12 Problems and Solutions |
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