document.write( "Question 323713: C.is the right angle in triangle ABC.D is the midpoint of side AC.E is the midpoint of side BC.
\n" ); document.write( "The lenght of line segment BD is 26
\n" ); document.write( "The lenght of line segment AE is 7
\n" ); document.write( "How long is the side AB?
\n" ); document.write( "thankyou \n" ); document.write( "

Algebra.Com's Answer #231652 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"AC%5E2%2BBC%5E2=AB%5E2\"$
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\n" ); document.write( " $\"AC%5E2%2BCE%5E2=AE%5E2=49\"$
\n" ); document.write( " $\"AC%5E2%2B%28BC%2F2%29%5E2=49\"$
\n" ); document.write( "1. $\"AC%5E2%2BBC%5E2%2F4=49\"$
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\n" ); document.write( " $\"BC%5E2%2BCD%5E2=26%5E2\"$
\n" ); document.write( " $\"BC%5E2%2B%28AC%2F2%29%5E2=676\"$
\n" ); document.write( "2. $\"BC%5E2%2BAC%5E2%2F4=676\"$
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\n" ); document.write( "Add eq. 1 and eq. 2,
\n" ); document.write( " $\"AC%5E2%2BBC%5E2%2F4%2BBC%5E2%2BAC%5E2%2F4=49%2B676\"$
\n" ); document.write( " $\"%285%2F4%29AC%5E2%2B%285%2F4%29BC%5E2=725\"$
\n" ); document.write( " $\"AC%5E2%2BBC%5E2=%284%2F5%29%28725%29\"$
\n" ); document.write( " $\"AB%5E2=580\"$
\n" ); document.write( " $\"AB=sqrt%28580%29\"$
\n" ); document.write( " $\"AB=2sqrt%28145%29\"$
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