document.write( "Question 624865: The perimeter of a triangle with 2 equal sides is 46m. If its base was lengthened by 4 cm and each leg was shortened by 7 cm, all 3 sides would be equal. Find the length of the base of the original triangle. \n" ); document.write( "

Algebra.Com's Answer #393132 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
I'll call the sides $\"+b+\"$ for base, $\"+s+\"$ for the other 2 sides
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+b+%2B+2s+=+46+\"$
\n" ); document.write( "(2) $\"+b+%2B+4%2F100+=+s+%2B+7%2F100+\"$ ( note that $\"+s+%2B+7%2F100+\"$ is 1 of the sides )
\n" ); document.write( "-------------------
\n" ); document.write( "(2) $\"+b+-+s+=+7%2F100+-+4%2F100+\"$
\n" ); document.write( "(2) $\"+b+-+s+=+3%2F100+\"$
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "(1) $\"+b+%2B+2s+=+46+\"$
\n" ); document.write( "(2) $\"+-b+%2B+s+=+-3%2F100+\"$
\n" ); document.write( " $\"+3s+=+45.97+\"$
\n" ); document.write( " $\"+s+=+15.32333+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+b+-+s+=+3%2F100+\"$
\n" ); document.write( "(2) $\"+b+=+15.32333+%2B+3%2F100+\"$
\n" ); document.write( "(2) $\"+b+=+15.35333+\"$
\n" ); document.write( "---------------
\n" ); document.write( "The base of the original triangle is 15.35333 m
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+15.35333+%2B+2%2A15.32333+=+46+\"$
\n" ); document.write( "(2) $\"+15.35333+%2B+30.64666+=+46+\"$
\n" ); document.write( "(2) $\"+46+=+46+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+b+%2B+4%2F100+=+s+%2B+7%2F100+\"$
\n" ); document.write( "(2) $\"+b+%2B+.04+=+s+%2B+.07+\"$
\n" ); document.write( "(2) $\"+15.35333+%2B+.04+=+15.32333+%2B+.07+\"$
\n" ); document.write( "(2) $\"+15.39333+=+15.39333+\"$
\n" ); document.write( "OK \n" ); document.write( "

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