document.write( "Question 922924: The legs of an isosceles triangle have lengths x + 1 and -x + 7 . The base has length 3x - 3. What is the length of the base? \n" ); document.write( "

Algebra.Com's Answer #559788 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "Isosceles Triangle:\r
\n" ); document.write( "\n" ); document.write( "Two $\"equal\"$ sides.
\n" ); document.write( "Two $\"equal\"$ angles.\r
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\n" ); document.write( "\n" ); document.write( "given: \r
\n" ); document.write( "\n" ); document.write( "The legs lengths: $\"x+%2B+1\"$ and $\"-x+%2B+7\"$ \r
\n" ); document.write( "\n" ); document.write( "since we have an isosceles triangle $\"x+%2B+1=-x+%2B+7\"$ \r
\n" ); document.write( "\n" ); document.write( "solve $\"x+%2B+1=-x+%2B+7\"$ for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+%2B+x=-1+%2B+7\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x=6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=6%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=3\"$ \r
\n" ); document.write( "\n" ); document.write( "now we can find the base \r
\n" ); document.write( "\n" ); document.write( "the base has length $\"3x+-+3\"$ ...plug in $\"x=3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3%2A3+-+3=9-3=6\"$ \r
\n" ); document.write( "\n" ); document.write( "so, the base has length $\"6\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "and the length of the legs are: $\"x+%2B+1=3%2B1=4\"$ and $\"-x+%2B+7=-3%2B7=4\"$ \n" ); document.write( "

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