document.write( "Question 1114027: In triangle ABC, length AB=32, length BC=10, and length AC=26. If line segment CH is the altitude to segment AB and segment CM is the median to AB, compute the length of line segment HM. \n" ); document.write( "

Algebra.Com's Answer #729068 by ikleyn(52793) $\"\"$ $\"About$

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document.write( "1.  Using the Heron's formula, calculate the area  S  of the triangle ABC.\r\n" );
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document.write( "    The side lengths are given.\r\n" );
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document.write( "2.  Next step find the length of the altitude CH from equation   = S.\r\n" );
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document.write( "3.  Consider right-angled triangle AHC.  In it, you know AC = 26. \r\n" );
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document.write( "    In section 2 you just also found the length  |CH|.\r\n" );
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document.write( "    So you can find the leg  |AH|.\r\n" );
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document.write( "3.  Now you know  |AM|  (it is 16 units, half of  |AB|).\r\n" );
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document.write( "    You also know  |AH|.\r\n" );
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document.write( "    The difference  |AB|  minus  |AH|  is the length  |MH|  under the question.\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you do, then refer please to the problem ID number 1114027.\r
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\n" ); document.write( "\n" ); document.write( "Otherwise I will not know to whom to answer . . . \r
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