# SOLUTION: How many integers values of x are there so that x, 5, and 8 could be the lengths of the sides of a triangle?

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 Geometry: Triangles Solvers Lessons Answers archive Quiz In Depth

 Question 265338: How many integers values of x are there so that x, 5, and 8 could be the lengths of the sides of a triangle?Answer by stanbon(57219)   (Show Source): You can put this solution on YOUR website!How many integers values of x are there so that x, 5, and 8 could be the lengths of the sides of a triangle? --- If 5 and 8 are laid (left end point to right end point) the segments could form a straight line segment of length 13: and there would be no triangle. So, x must be less than 5+8 = 13 ; maximum integer value = 12 -------- If the 5 overlaps the 8 (left end pt. to left end point) the right end points are 3 apart and there is no triangle. So, x must be greater than 8-5=3 ; minimum integer value = 4 ============================================================ Cheers, Stan H.