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How-to-prove-that-a-lt-b-lt-c-a-b-gt-c-which-a-b-c-are-sides-of-a-triangle-

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Question Number 152770 by naka3546 last updated on 01/Sep/21
How to prove that a<b<c ⇒ a+b > c which a,b,c are sides of a triangle ?
Howtoprovethata<b<c⇒a+b>cwhicha,b,caresidesofatriangle?
Commented by MJS_new last updated on 01/Sep/21
a+b>c∧a+c>b∧b+c>a ⇔ a, b, c are sides of a triangle, no matter if a<b<c or not we cannot prove a<b<c ⇒ a+b>c without knowing a, b, c form a triangle we do not need a<b<c to prove a+b>c when we know a, b, c form a triangle
a+b>c∧a+c>b∧b+c>a⇔a,b,caresidesofatriangle,nomatterifa<b<cornotwecannotprovea<b<c⇒a+b>cwithoutknowinga,b,cformatrianglewedonotneeda<b<ctoprovea+b>cwhenweknowa,b,cformatriangle

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