document.write( "Question 171123: the lengths of the three sides of a right triangle are represented by consecutive even whole numbers. find the lengths of the three sides. \n" ); document.write( "

Algebra.Com's Answer #126337 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Let ---> $\"system%28x=opposite%2Cx%2B2=adjacent%2Cx%2B4=hypotenuse%29\"$
\n" ); document.write( "Then by Pyth Theorem:
\n" ); document.write( " $\"%28x%2B4%29%5E2=x%5E2%2B%28x%2B2%29%5E2\"$ , Expand
\n" ); document.write( " $\"x%5E2%2B8x%2B16x=x%5E2%2Bx%5E2%2B4x%2B4\"$ }
\n" ); document.write( " $\"8x%2B16-4x-4=x%5E2%2Bcross%28x%5E2%29-cross%28x%5E2%29\"$
\n" ); document.write( " $\"4x%2B12=x%5E2\"$
\n" ); document.write( " $\"x%5E2-4x-12=0\"$ , Perfect square,
\n" ); document.write( " $\"%28x-6%29%28x%2B2%29=0\"$
\n" ); document.write( " $\"highlight%28x=6%29\"$ , opposite side: $\"x=-2\"$ , disregard
\n" ); document.write( " $\"x%2B2=6%2B2=highlight%288%29\"$ , adjacent side
\n" ); document.write( " $\"x%2B4=6%2B4=highlight%2810%29\"$ ,hypotenuse
\n" ); document.write( "Consecutive even whole numbers -----> $\"system%28opp=6%2Cadj=8%2Chyp=10%29\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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