document.write( "Question 1192513: Can i get help with a question please...\r
\n" ); document.write( "\n" ); document.write( "Because of construction along the road from A to B, Alinna drives 8 miles from A to C and then 15 miles from C to B.\r
\n" ); document.write( "\n" ); document.write( "How much farther (in miles) did Alinna travel by using the alternative route from A to B?\r
\n" ); document.write( "\n" ); document.write( "The Pythagorean theorem will be needed in this problem. Once you use the Pythagorean theorem , you will get the length of AB, but this question goes a little further, it wants the DIFFERENCE of AB from the SUM of AC and CB
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Algebra.Com's Answer #824394 by ikleyn(52790) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Although it is not disclosed in the post, from the context I can guess that\r\n" );
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document.write( "AC and CB are the legs of the right-angled triangle ABC, while AB is its hypotenuse.\r\n" );
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document.write( "Then, using the Pythagorean theorem, I can find the length of AB\r\n" );
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document.write( "   AB  =  =  = 17 miles.\r\n" );
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document.write( "Next, the problem asks how much longer is the path AC + CB than AB.\r\n" );
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document.write( "To find it, subtract  17 from 8+15:  \r\n" );
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document.write( "            (8+15) - 17 = 23 - 17 = 6.\r\n" );
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document.write( "ANSWER.  The path AC + CB is 6 miles longer than AB.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved (with clear explanations).\r
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