document.write( "Question 708697: A gardener wants to divide a square piece of lawn in half diagonally. What is the length of the diagonal if the side of the square is 8 ft? Leave your answer in simplest radical form.
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Algebra.Com's Answer #436216 by KMST(5328) $\"\"$ $\"About$

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Each half would be a right isosceles triangle with both legs measuring 8 ft.
\n" ); document.write( "The diagonal would be the hypotenuse shared by those triangles.
\n" ); document.write( "We need to find the length, $\"d\"$ , in feet, of that hypotenuse.
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\n" ); document.write( "The Pythagorean theorem says that
\n" ); document.write( "the squares of the legs' lengths add up to
\n" ); document.write( "the squares of the length of the hypotenuse, so
\n" ); document.write( " $\"8%5E2%2B8%5E2=d%5E2\"$ --> $\"d%5E2=2%2A8%5E2\"$ --> $\"d=sqrt%282%2A8%5E2%29\"$ --> $\"d=sqrt%282%29%2Asqrt%288%5E2%29%29\"$ --> $\"highlight%28d=8sqrt%282%29%29\"$
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