document.write( "Question 1000589: If the sum of the two sides of a right triangle is 49 inches and the hypotenuse is 41 inches, find the other two sides. \n" ); document.write( "
Algebra.Com's Answer #617980 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
x and 49-x are the legs.\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B%2849-x%29%5E2=41%5E2\"-----Pythagorean Theorem Formula applied.\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B49%5E2-98x%2Bx%5E2=41%5E2\"
\n" ); document.write( "\"2x%5E2-98x%2B49%5E2-41%5E2=0\"
\n" ); document.write( "\"2x%5E2-98x%2B%2849%2B41%29%2849-41%29=0\"------seeing difference of two squares
\n" ); document.write( "\"2x%5E2-98x%2B90%2A8=0\"
\n" ); document.write( "\"x%5E2-49x%2B45%2A8=0\"-----might be factorable, but too many possibilities to try.
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\n" ); document.write( "discriminant? \"49%5E2-4%2A1%2A45%2A8=2401-45%2A8=2041\"
\n" ); document.write( "\"2041=13%2A157\", so not a square.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%2849%2B-+sqrt%282041%29%29%2F2\"
\n" ); document.write( "Other leg then \"49-%2849%2B-+sqrt%282041%29%29%2F2\".\r
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\n" ); document.write( "\n" ); document.write( "The PLUS form will not work (as would be found if continuing this way).
\n" ); document.write( "Try the MINUS form.\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28x=%2849-sqrt%282041%29%29%2F2%29\" and then other leg is \"highlight%2849-%2849-sqrt%282041%29%29%2F2%29\". You should find that these give reasonable values.\r
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\n" ); document.write( "Be aware of the site page, http://www.mathwarehouse.com/arithmetic/numbers/prime-number/prime-factorization-calculator.php
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