document.write( "Question 985644: If the point A (7, k) is the vertex of an isosceles triangle ABC with base BC,
\n" ); document.write( "where B = (2, 4) and C = (6, 10), then what is 'k'? \n" ); document.write( "

Algebra.Com's Answer #606480 by josgarithmetic(39628) $\"\"$ $\"About$

You can put this solution on YOUR website!
AB=AC\r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%28%287-2%29%5E2%2B%28k-4%29%5E2%29=sqrt%28%287-6%29%5E2%2B%28k-10%29%5E2%29\"$
\n" ); document.write( " $\"sqrt%28%285%29%5E2%2B%28k-4%29%5E2%29=sqrt%28%281%29%5E2%2B%28k-10%29%5E2%29\"$
\n" ); document.write( " $\"25%2B%28k-4%29%5E2=1%2B%28k-10%29%5E2\"$
\n" ); document.write( " $\"24%2Bk%5E2-8k%2B16=k%5E2-20k%2B100\"$
\n" ); document.write( " $\"k%5E2-8k%2B16=k%5E2-20k%2B76\"$
\n" ); document.write( " $\"-8k%2B16=-20k%2B76\"$
\n" ); document.write( " $\"12k%2B16=76\"$
\n" ); document.write( " $\"12k=60\"$
\n" ); document.write( " $\"highlight%28k=5%29\"$
\n" ); document.write( " \n" ); document.write( "

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