document.write( "Question 1092244: If A=19, and B=8, find the values of x,y,and z.
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Algebra.Com's Answer #706833 by math_helper(2461) $\"\"$ $\"About$

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(1) $\"+y%5E2+%2B+z%5E2+=+%288%2B19%29%5E2+\"$
\n" ); document.write( "(2) $\"+x%5E2+%2B+8%5E2+=+z%5E2+\"$
\n" ); document.write( "(3) $\"+x%5E2+%2B+19%5E2+=+y%5E2+\"$ \r
\n" ); document.write( "\n" ); document.write( "Solving (I used substitution for $\"+z%5E2\"$ in (2) and $\"+y%5E2+\"$ in (3) into (1)):
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\n" ); document.write( " $\"+highlight%28x=sqrt%28152%29%29+\"$
\n" ); document.write( " $\"+highlight%28y=sqrt%28513%29%29+\"$
\n" ); document.write( " $\"+highlight%28z=sqrt%28216%29%29+\"$
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\n" ); document.write( "Check:
\n" ); document.write( " $\"y%5E2+%2B+z%5E2+=+513%2B216+=+729+=+27%5E2+=+%288%2B19%29%5E2+\"$ (ok)
\n" ); document.write( " $\"+x%5E2+%2B+8%5E2+=+152%2B64+=+216+=+z%5E2+\"$ (ok)
\n" ); document.write( " $\"+x%5E2+%2B+19%5E2+=+152%2B361+=+513+=+y%5E2+\"$ (ok)
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