Difference between revisions of "2006 Cyprus MO/Lyceum/Problem 7"

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==Problem==
 
==Problem==
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[[Image:2006 CyMO-7.PNG|250px]]
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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
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A. <math>\frac{3\sqrt{3}}{2}</math>
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B. <math>8</math>
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C.  <math>4</math>
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D. <math>3</math>
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E. <math>9</math>
  
 
==Solution==
 
==Solution==

Revision as of 21:19, 17 October 2007

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

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See also

2006 Cyprus MO, Lyceum (Problems)
Preceded by
Problem 6
Followed by
Problem 8
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