document.write( "Question 250077: Find the length of x. It is a right triangle with the hypotenuse measuring 25. The other sides are (x+3) and 4(x+2).
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Algebra.Com's Answer #182100 by Fombitz(32388) $\"\"$ $\"About$

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Use the Pythagorean theorem,
\n" ); document.write( " $\"A%5E2%2BB%5E2=H%5E2\"$
\n" ); document.write( " $\"%28x%2B3%29%5E2%2B%284%28x%2B2%29%29%5E2=25%5E2\"$
\n" ); document.write( " $\"%28x%5E2%2B6x%2B9%29%2B16%28x%5E2%2B4x%2B4%29=625\"$
\n" ); document.write( " $\"x%5E2%2B16x%5E2%2B6x%2B64x%2B9%2B64=625\"$
\n" ); document.write( " $\"17x%5E2%2B70x%2B73=625\"$
\n" ); document.write( " $\"17x%5E2%2B70x-552=0\"$
\n" ); document.write( " $\"%2817x%2B138%29%28x-4%29=0\"$
\n" ); document.write( "Only the positive value for x is valid.
\n" ); document.write( " $\"x=4\"$
\n" ); document.write( "The lengths are then 7 and 24. \n" ); document.write( "

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