# SOLUTION: hello there, I'm having trouble finding the lengths of this triangle whose measurements are as follows: short leg={{{x}}} long leg={{{((1/2x)+11)}}} hypotenuse={{{(2x+1)}}} t

Algebra ->  Algebra  -> Triangles -> SOLUTION: hello there, I'm having trouble finding the lengths of this triangle whose measurements are as follows: short leg={{{x}}} long leg={{{((1/2x)+11)}}} hypotenuse={{{(2x+1)}}} t      Log On

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 Geometry: Triangles Solvers Lessons Answers archive Quiz In Depth

 Question 623408: hello there, I'm having trouble finding the lengths of this triangle whose measurements are as follows: short leg= long leg= hypotenuse= this is the work that I had done: simplified: written in standard form: multiply everything by (11/4): And now I'm stuck here, as you can see, there's no way I can factorize this, what have I done wrong? Your help is very much appreciated.Answer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website!hello there, I'm having trouble finding the lengths of this triangle whose measurements are as follows: short leg= long leg= hypotenuse= this is the work that I had done: simplified: ***** 11^2 = 121, and 11/x ======================== Multiply by 4x^2 to eliminate the fraction ------------------- Using graphical or numerical approximations, x =~ 5.71342 That's the only real number solution. You sure it's not (1/2)x + 11 for one leg? ================= written in standard form: multiply everything by (11/4): And now I'm stuck here, as you can see, there's no way I can factorize this, what have I done wrong? Your help is very much appreciated.