May 28th, 2016, 01:55 AM  #1 
Senior Member Joined: Nov 2013 Posts: 434 Thanks: 8  find x show steps
find the value

May 28th, 2016, 08:33 AM  #2 
Senior Member Joined: Feb 2010 Posts: 673 Thanks: 125 
$\displaystyle x=33$ Use the law of sines and producttosum identity. 
May 28th, 2016, 08:15 PM  #3 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,402 Thanks: 829 
Also, triangle ABE is isosceles (AE = BE)...so is triangle BCE. Let height BD = 1; then: BC = ~1.1924, AB = ~1.8361 and AC = ~2.1893 
May 30th, 2016, 08:26 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 18,956 Thanks: 1602 
The problem is considered here. There are slips in some of the proposed answers given there, but the short solution dated September 17, 2010 is correct. The steps used are not explained in detail, but it's not too difficult to provide proper justifications for them.


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