2006 Cyprus MO/Lyceum/Problem 7

Revision as of 22:19, 17 October 2007 by 1=2 (talk | contribs)

Problem

2006 CyMO-7.PNG

In the figure, $AB\Gamma$ is an equilateral triangle and $A\Delta \perp B\Gamma$, $\Delta E\perp A\Gamma$, $EZ\perp BC$. If $EZ=\sqrt{3}$, then the length of the side of the triangle $AB\Gamma$ is

A. $\frac{3\sqrt{3}}{2}$

B. $8$

C. $4$

D. $3$

E. $9$

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also

2006 Cyprus MO, Lyceum (Problems)
Preceded by
Problem 6
Followed by
Problem 8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30