document.write( "Question 233608: One side of a triangle is 2 cm shorter than the base, x. The other side is 3 cm longer that the base. What lengths of the base will allow the perimeter of the triangle to be at least 46 cm? \n" ); document.write( "
Algebra.Com's Answer #172446 by Earlsdon(6294)\"\" \"About 
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Let the length of the base = x.
\n" ); document.write( "The shorter side is then x-2 while the longer side is x+3.
\n" ); document.write( "The sum of these three sides is to be at least 46 cm., so...
\n" ); document.write( "\"%28x-2%29%2B%28x%2B3%29%2Bx+%3E=+46\" Combine like-terms on the left side.
\n" ); document.write( "\"3x%2B1+%3E=+46\" Subtract 1 from both sides.
\n" ); document.write( "\"3x+%3E=+45\" Divide both sides by 3.
\n" ); document.write( "\"highlight%28x+%3E=+15%29\"
\n" ); document.write( "The base should be at least 15cm. long.
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