SOLUTION: Two sides of a triangle have lengths 6 and 8. What lengths are possible for the third side? Explain.

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 Click here to see ALL problems on Geometry Word Problems Question 466110: Two sides of a triangle have lengths 6 and 8. What lengths are possible for the third side? Explain.Answer by Edwin McCravy(8999)   (Show Source): You can put this solution on YOUR website!```If two sides of a triangle have lengths a and b, then the length, c, of the third side must be between |a-b| and a+b, exclusive of each. That is |a-b| < c < a+b Therefore, If two sides of a triangle have lengths 6 and 8, then the length, c, of the third side must be between |6-8| and 6+8, exclusive of each. That is |6-8| < c < 6+8 |-2| < c < 14 2 < c < 14 So the third side must be longer than 2 yet shorter than 14. Edwin```