document.write( "Question 1085090: This was a question on my cct part 2 and i did not understand it at all.\r
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Algebra.Com's Answer #699118 by ikleyn(52779)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let x be the shorter leg of the triangle, in centimeters.\r\n" );
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document.write( "Then the length of the longer leg is (x+3) cm, according to the condition.\r\n" );
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document.write( "The Pythagorean theorem says\r\n" );
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document.write( "\"x%5E2+%2B+%28x%2B3%29%5E2\" = \"15%5E2\",   or\r\n" );
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document.write( "\"x%5E2+%2B+x%5E2+%2B+6x+%2B+9\" = 225,\r\n" );
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document.write( "\"2x%5E2+%2B+6x+-+216\" = 0,\r\n" );
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document.write( "\"x%5E2+%2B+3x+-+108\" = 0.\r\n" );
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document.write( "Factor left side:\r\n" );
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document.write( "(x-9)*(x+12) = 0.\r\n" );
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document.write( "The roots are x= 9 and x= -12.\r\n" );
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document.write( "Ignore the negative root, since the length can not be negative.\r\n" );
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document.write( "The only solution to the problem is x= 9 cm.\r\n" );
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document.write( "Answer.  The legs of the given right-angled triangle are 9 cm and 12 cm.\r\n" );
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document.write( "         It is the classic (3-4-5)-right-angled triangle.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see more similar solved problems, look into the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on the perimeter and side lengths of a triangle\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on the perimeter and side lengths of a right-angled triangle\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic
\n" ); document.write( "\"Finding the perimeter and sides lengths of triangles, parallelograms, rectangles and polygons\".\r
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