document.write( "Question 1203446: Given right triangle ABCABC with altitude \overline{BD}BD drawn to hypotenuse \overline{AC}AC. If AD=9AD=9 and BD=3,BD=3, what is the length of \overline{DC}?DC? \n" ); document.write( "

Algebra.Com's Answer #839022 by ikleyn(52835) $\"\"$ $\"About$

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\n" ); document.write( "Given right triangle ABC with altitude BD drawn to hypotenuse AC.
\n" ); document.write( "If AD=9 and BD=3, what is the length of DC?
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document.write( "If in a right angled triangle ABC, the altitude h = BD from the right angle B\r\n" );
document.write( "to the hypotenuse AC divides the hypotenuse by segments of the length x and y,\r\n" );
document.write( "then\r\n" );
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document.write( "     = x*y.    (1)\r\n" );
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document.write( "It is the general formula and the general statement/fact from Euclidean geometry.\r\n" );
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document.write( "In our case  h = BD = 3,  x = AD = 9, and the problem asks about y = DC.\r\n" );
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document.write( "From formula (1),   y =  =  =  = 1.\r\n" );
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document.write( "ANSWER.  DC = 1.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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