Difference between revisions of "2006 Cyprus MO/Lyceum/Problem 7"
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==Problem== | ==Problem== | ||
| − | {{ | + | <div style="float:right"> |
| + | [[Image:2006 CyMO-7.PNG|250px]] | ||
| + | </div> | ||
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| + | In the figure, <math>AB\Gamma</math> is an equilateral triangle and <math>A\Delta \perp B\Gamma</math>, <math>\Delta E\perp A\Gamma</math>, <math>EZ\perp BC</math>. If <math>EZ=\sqrt{3}</math>, then the length of the side of the triangle <math>AB\Gamma</math> is | ||
| + | |||
| + | A. <math>\frac{3\sqrt{3}}{2}</math> | ||
| + | |||
| + | B. <math>8</math> | ||
| + | |||
| + | C. <math>4</math> | ||
| + | |||
| + | D. <math>3</math> | ||
| + | |||
| + | E. <math>9</math> | ||
==Solution== | ==Solution== | ||
Revision as of 22:19, 17 October 2007
Problem
In the figure, 
is an equilateral triangle and 
, 
, 
. If 
, then the length of the side of the triangle is
A. 
B. 
C. 
D. 
E. 
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 | ||
