document.write( "Question 1005015: A drawing of a teepee has the shape of a right triangle with one leg 8 meters longer than the other, The hypotenuse is 8 meters less than twice the length of the shorter leg? What are the steps with the solution? \n" ); document.write( "
Algebra.Com's Answer #621354 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
Step 1: Define a variable
\n" ); document.write( "\"x\"= length of the shorter leg, in meters.\r
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\n" ); document.write( "\n" ); document.write( "Step 2: Express other measurements based on the variable defined above.
\n" ); document.write( "\"x%2B8\"= length of the shorter leg, in meters.
\n" ); document.write( "\"2x-8\"= length of the hypotenuse/\r
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\n" ); document.write( "\n" ); document.write( "Step 3: Apply the Pythagorean theorem
\n" ); document.write( "\"%282x-8%29%5E2=x%5E2%2B%28x%2B8%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "Step 4: Work on the above equation (simplify and solve)
\n" ); document.write( "\"%282x-8%29%5E2=x%5E2%2B%28x%2B8%29%5E2\"
\n" ); document.write( "\"%282x%29%5E2%2B2%282x%29%28-8%29%2B8%5E2=x%5E2%2Bx%5E2%2B2%28x%29%288%29%2B8%5E2\"
\n" ); document.write( "\"4x%5E2-32x%2B8%5E2=x%5E2%2Bx%5E2%2B16x%2B8%5E2\"
\n" ); document.write( "\"4x%5E2-32x=2x%5E2%2B16x\"
\n" ); document.write( "\"4x%5E2-32x-2x%5E2-16x=0\"
\n" ); document.write( "\"2x%5E2-48x=0\"
\n" ); document.write( "\"2x%28x-24%29=0\"--->\"x=24\" is the only solution that makes sense, because
\n" ); document.write( "\"x=0\" does not make sense.\r
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\n" ); document.write( "\n" ); document.write( "Step 5: Find the other lengths
\n" ); document.write( "\"x%2B8=24%2B8=32\" and \"2x-8=2%2A24%2A8=48-8=40\" .\r
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\n" ); document.write( "\n" ); document.write( "Step 6: Answer in words, with units if that is what is expected.
\n" ); document.write( "The shorter leg measures \"highlight%2824meters%29\" .
\n" ); document.write( "The longer leg measures \"highlight%2832meters%29\" .
\n" ); document.write( "The hypotenuse measures \"highlight%2840meters%29\" .
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