document.write( "Question 647407: The sum of lengths of any two sides of triangle must be greater than third side. If a triangle has one side that is 14 inches and a second side that is one inch less than twice the third, what are the possible lengths for second and third? \n" ); document.write( "

Algebra.Com's Answer #406178 by aaronwiz(69) $\"\"$ $\"About$

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Hi, my name is Aaron I am in 10th grade and im in honors trig/pre-calc. \r
\n" ); document.write( "\n" ); document.write( "This is called the triangle inequality thm.\r
\n" ); document.write( "\n" ); document.write( "Lets call the third side \"X\"
\n" ); document.write( "that makes the second side 2x-1\r
\n" ); document.write( "\n" ); document.write( "These two sides added together, must be greater than the first side, which is 14. lets make an inequality out of it.\r
\n" ); document.write( "\n" ); document.write( "x+2x-1>14\r
\n" ); document.write( "\n" ); document.write( "solve for x\r
\n" ); document.write( "\n" ); document.write( "3x>15
\n" ); document.write( "x>5\r
\n" ); document.write( "\n" ); document.write( "as long as X is greater than 5, you know the triangles exist.\r
\n" ); document.write( "\n" ); document.write( "Hope I helped. I would really appreciate your recommendation, their are plenty of other things I could be doing rather then spending time on this site helping people. Good luck! :) \n" ); document.write( "

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