document.write( "Question 1153637: One leg of a right triangle is 7cm shorter than the other leg. How long should the shorter leg be to ensure that the hypotenuse is at least 13cm? \n" ); document.write( "
Algebra.Com's Answer #775886 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "if one leg of a right triangle is \"7cm\" shorter than the other leg, we have\r
\n" ); document.write( "\n" ); document.write( "\"a=b%2B7\"\r
\n" ); document.write( "\n" ); document.write( "if the hypotenuse is at least \"13cm\", then\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2%2Bb%5E2=13%5E2\"....substitute \"a\"\r
\n" ); document.write( "\n" ); document.write( "\"%28b%2B7%29%5E2%2Bb%5E2=13%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"b%5E2%2B14b%2B49%2Bb%5E2=169\"\r
\n" ); document.write( "\n" ); document.write( "\"2b%5E2%2B14b%2B49-169=0\"\r
\n" ); document.write( "\n" ); document.write( "\"2b%5E2%2B14b-120=0\"\r
\n" ); document.write( "\n" ); document.write( "\"b%5E2%2B7b-60=0\".....factor\r
\n" ); document.write( "\n" ); document.write( "\"b%5E2%2B12b-5b-60=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28b%5E2%2B12b%29-%285b%2B60%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"b%28b%2B12%29-5%28b%2B12%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28b+-+5%29+%28b+%2B+12%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "=> \"b=5\" or \"b=-12\"->disregard negative solution\r
\n" ); document.write( "\n" ); document.write( "so, \"a=b%2B7\"->\"a=5%2B7\"->\"a=12\"\r
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