document.write( "Question 1177800: What is the length of the angle bisector to the short leg
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Algebra.Com's Answer #806934 by ikleyn(52874) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " The solution by @MathLover1 is INCORRECT.\r
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\n" ); document.write( "\n" ); document.write( " I came to bring the correct solution.\r
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document.write( "Let the given triangle be ABC, with the right angle B;\r\n" );
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document.write( "     the leg AB = 12;\r\n" );
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document.write( "         leg BC =  9,\r\n" );
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document.write( "     and the hypotenuse AC = 15.\r\n" );
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document.write( "The bisector AD of the acute angle A divides the leg BC in two parts BD and DC.\r\n" );
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document.write( "Then the ratio   |BD|  to  |CD|  is equal to the ratio  |AB|  to  |AC|,  i.e.   = .\r\n" );
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document.write( "It implies that  |BD| = 4,  |BC| = 5.\r\n" );
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document.write( "Hence,  the length of the bisector AD is equal to   =  = .    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Looking into her activity in last several days, I start thinking that\r
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\n" ); document.write( "\n" ); document.write( "@MathLover1 presents a real danger for any visitor to this forum, because she provides wrong solutions even to simplest Math problems.\r
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\n" ); document.write( "\n" ); document.write( "See my notes to her posts in past two days\r
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\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1177850.html\r
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\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Volume/Volume.faq.question.1177847.html\r
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\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Surface-area/Surface-area.faq.question.1177846.html\r
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\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Triangles/Triangles.faq.question.1177800.html\r
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