2006 Cyprus MO/Lyceum/Problem 7
Problem
In the figure, is an equilateral triangle and , , . If , then the length of the side of the triangle is
Solution
is a right triangle, so . Also , so also is a .
Thus, . Adding, , and a side of is .
See also
2006 Cyprus MO, Lyceum (Problems) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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