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June 27th, 2019, 10:34 AM  #1 
Senior Member Joined: Dec 2015 From: somewhere Posts: 729 Thanks: 98  Triangle statement
Prove that the sum of any two lengths of a triangle is larger than the one left . Assume the triangle’s lengths are $\displaystyle a,b,c$ . 
June 27th, 2019, 10:38 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,585 Thanks: 1430 
There are a zillion proofs of the triangle inequality on the net. What is your purpose for posting this question here? As a test? 
June 27th, 2019, 10:40 AM  #3 
Senior Member Joined: Dec 2015 From: somewhere Posts: 729 Thanks: 98 
Just searching a proof in shortterms without trygonometry . 

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