document.write( "Question 534275: The perimeter of a triangle with 2 equal sides is 71 cm. if its base were lengthened by 6cm and each leg were shortened by 4cm, all 3 sides would be equal. Find the length of the base of the original triangle \n" ); document.write( "
Algebra.Com's Answer #351433 by oberobic(2304)\"\" \"About 
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2s + b = 71
\n" ); document.write( "b = 71-2s
\n" ); document.write( ".
\n" ); document.write( "s-4 = b+6
\n" ); document.write( "b = s-4-6
\n" ); document.write( "b = s-10
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\n" ); document.write( "b=b
\n" ); document.write( "so
\n" ); document.write( "71-2s = s-10
\n" ); document.write( "71+10 = s+2s
\n" ); document.write( "3s = 81
\n" ); document.write( "s = 27
\n" ); document.write( ".
\n" ); document.write( "2s + b = 71
\n" ); document.write( "2*27 + b = 71
\n" ); document.write( "b = 71 -54
\n" ); document.write( "b = 17
\n" ); document.write( ".
\n" ); document.write( "Answer: The original triangle has sides = 27 and base = 17.
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\n" ); document.write( "Check.
\n" ); document.write( "b+6 = 17+6 = 23
\n" ); document.write( "s-4 = 27-4 = 23
\n" ); document.write( "So that would make all sides equal.
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\n" ); document.write( "Done.\r
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