document.write( "Question 93267: The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs. \n" ); document.write( "
Algebra.Com's Answer #67901 by Earlsdon(6294)\"\" \"About 
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Starting with the perimeter:
\n" ); document.write( "\"P+=+2s%2Bb\" where s = the length of one of the equal sides and b = the length of the base and P = 29 cm.
\n" ); document.write( "But s = 4b-8 s is \"8 cm less than 4 times the length of the base\"
\n" ); document.write( "Substituting 4b-8 for s in the formula for the perimeter:
\n" ); document.write( "\"29+=+2%284b-8%29%2Bb\" Simplify.
\n" ); document.write( "\"29+=+8b-16%2Bb\"
\n" ); document.write( "\"29+=+9b-16\" Add 16 to both sides.
\n" ); document.write( "\"45+=+9b\" Divide both sides by 9.
\n" ); document.write( "\"5+=+b\" This is the length of the base, but you need the length of s, so...
\n" ); document.write( "\"s+=+4b-8\"
\n" ); document.write( "\"s+=+4%285%29-8\"
\n" ); document.write( "\"s+=+20-8\"
\n" ); document.write( "\"s+=+12\"cm.\r
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "\"P+=+2%2812%29%2B5\"
\n" ); document.write( "\"P+=+24%2B5\"
\n" ); document.write( "\"P+=+29\"
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