2007 Cyprus MO/Lyceum/Problem 22
Problem
In the figure, is an orthogonal trapezium with and bases , . If and is the midpoint of the side , then equals to
Solution
Let the midpoint of be . The length of is the average of the bases, or . The length of is also .
Since is a triangle, the length of is , and the answer is .
See also
2007 Cyprus MO, Lyceum (Problems) | ||
Preceded by Problem 21 |
Followed by Problem 23 | |
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