document.write( "Question 154120This question is from textbook Intermediate Algebra
\n" ); document.write( ": The lengths of the three sides of a right triangle are represented by consecutive whole numbers. Find the lengths of the three sides. \n" ); document.write( "

Algebra.Com's Answer #113453 by jojo14344(1513) $\"\"$ $\"About$

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Remember:
\n" ); document.write( " $\"adjacent=a=x\"$
\n" ); document.write( " $\"opposite=o=x%2B1\"$
\n" ); document.write( " $\"hypotenuse=h=x%2B2\"$
\n" ); document.write( "consecutive numbers $\"system%28x%2Cx%2B1%2Cx%2B2%29\"$
\n" ); document.write( "By Pyth theorem:
\n" ); document.write( " $\"h%5E2=a%5E2%2Bo%5E2\"$ ------------------> working eqn
\n" ); document.write( " $\"%28x%2B2%29%5E2=x%5E2%2B%28x%2B1%29%5E2\"$
\n" ); document.write( " $\"x%5E2%2B4x%2B4=x%5E2%2Bx%5E2%2B2x%2B1\"$
\n" ); document.write( " $\"2x%5E2%2B2x%2B1-x%5E2-4x-4=0\"$
\n" ); document.write( " $\"x%5E2-2x-3=0\"$
\n" ); document.write( "By Quadratic : $\"a=1\"$ , $\"b=-2\"$ , & $\"c=-3\"$
\n" ); document.write( " $\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"$
\n" ); document.write( " $\"x=%28-%28-2%29%2B-sqrt%28-2%5E2-4%2A1%2A-3%29%29%2F%282%2A1%29\"$
\n" ); document.write( " $\"x=%282%2B-sqrt%284%2B12%29%29%2F2\"$
\n" ); document.write( " $\"x=%282%2B-sqrt%2816%29%29%2F2\"$
\n" ); document.write( " $\"x=%282%2B-4%29%2F2\"$
\n" ); document.write( "2 VALUES:
\n" ); document.write( " $\"x=%282%2B4%29%2F2=6%2F2=3\"$ -------> USED
\n" ); document.write( " $\"x=%282-4%29%2F2=-2%2F2=-1\"$ -------> DON'T USED
\n" ); document.write( "So the sides:
\n" ); document.write( " $\"adjacent=3\"$
\n" ); document.write( " $\"opposite=3%2B1=4\"$
\n" ); document.write( " $\"hypotenuse=3%2B2=5\"$
\n" ); document.write( "In doubt? go back working eqn:
\n" ); document.write( " $\"5%5E2=3%5E2%2B4%5E2\"$
\n" ); document.write( " $\"25=9%2B16\"$
\n" ); document.write( " $\"25=25\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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