document.write( "Question 827638: The perimeter of an isosceles triangle is 44cm. If a leg is 4 cm longer than the base, how long is the base? \n" ); document.write( "

Algebra.Com's Answer #498794 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "Here is the triangle.  Let b represent the base.\r\n" );
document.write( "Then since the legs are 4 cm longer than b, they are\r\n" );
document.write( "b+4 each:\r\n" );
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document.write( "The perimeter is just the measurement all the way around the RIM\r\n" );
document.write( "of of the triangle.  [Notice that the word \"RIM\" is inside the word\r\n" );
document.write( "\"peRIMeter\"].\r\n" );
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document.write( "Perimeter = LEFT LEG + RIGHT LEG + BASE = 44cm.  So\r\n" );
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document.write( "              (b+4)  +  (b+4)    +   b  = 44\r\n" );
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document.write( "                      b + 4 + b + 4 + b = 44\r\n" );
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document.write( "                                 3b + 8 = 44\r\n" );
document.write( "                                     -8   -8\r\n" );
document.write( "                               --------------\r\n" );
document.write( "                                 3b     = 36\r\n" );
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document.write( "                                     = \r\n" );
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document.write( "                                      b = 12\r\n" );
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document.write( "So the base is 12cm.\r\n" );
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document.write( "Edwin

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