April 10th, 2018, 09:54 AM  #11 
Global Moderator Joined: Dec 2006 Posts: 18,961 Thanks: 1605 
You didn't originally state that 2x is the hypotenuse. The first thing you stated about x was that 2x = 7, so 2x = 7 didn't require explanation. Why did you state that $\triangle ABC \cong \triangle AOC$? These triangles aren't congruent. 

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