document.write( "Question 877777: Hypotenuse of a right triangle is 8 other two sides are unknown. Perimeter is 18, find the other legs. Round answers to three significant figures. I got 7.645 and 2.355. would be awesome if you could show me how to solve it mathematically, as i forgot what i did. \n" ); document.write( "
Algebra.Com's Answer #529543 by josgarithmetic(39838)\"\" \"About 
You can put this solution on YOUR website!
The legs are x and y.\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2By%5E2=8%5E2\" for the Pythagorean Theorem sides relationship, and \"x%2By%2B8=18\" for the perimeter.\r
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\n" ); document.write( "\n" ); document.write( "Perimeter equation goes through
\n" ); document.write( "\"x%2By=10\"
\n" ); document.write( "\"y=10-x\"
\n" ); document.write( "Substituting into right triangle pythagorean thm. equation,
\n" ); document.write( "\"x%5E2%2B%2810-x%29%5E2=64\"
\n" ); document.write( "\"x%5E2%2B100-20x%2Bx%5E2=64\"
\n" ); document.write( "\"-20x%2B100=64\"
\n" ); document.write( "\"-20x=64-100\"
\n" ); document.write( "\"20x=100-64\"
\n" ); document.write( "\"20x=36\"
\n" ); document.write( "\"x=36%2F20=18%2F10=9%2F5\"
\n" ); document.write( "\"highlight%28x=9%2F5%29\"
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\n" ); document.write( "Again using just the simplified relationship from perimeter equation,
\n" ); document.write( "\"y=10-9%2F5\"
\n" ); document.write( "\"y=50%2F5-9%2F5\"
\n" ); document.write( "\"highlight%28y=41%2F5%29\"
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