<PRE><B>Question 708891</B>
&lt;font face=&quot;Times New Roman&quot; size=&quot;+2&quot;&gt;


The sum of the measures of the angles of any triangle is 180 degrees.  So if two of the angles are 60 degrees, the third one has to be 60 degrees as well creating an equiangular, and therefore equilateral, triangle.


If one of the sides of an equilateral triangle is 4x, then by definition, all three sides are 4x.  The perimeter is the sum of the measures of the sides, so:


*[tex \LARGE 4x\ +\ 4x\ +\ 4x\ =\ 54]


Solve for *[tex \LARGE x]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
&lt;font face=&quot;Math1&quot; size=&quot;+2&quot;&gt;Egw to Beta kai to Sigma&lt;/font&gt;
My calculator said it, I believe it, that settles it
&lt;div style=&quot;text-align:center&quot;&gt;&lt;a href=&quot;http://outcampaign.org/&quot; target=&quot;_blank&quot;&gt;&lt;img src=&quot;http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png&quot; border=&quot;0&quot; alt=&quot;The Out Campaign: Scarlet Letter of Atheism&quot; width=&quot;143&quot; height=&quot;122&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;/font&gt;</PRE>