document.write( "Question 536390: a garden has the shape of a right triangle with one leg 8 meters longer than the other. The hypotenuse is 5 meters less than twice the length of the shorter leg. what is the length of the shorter leg \n" ); document.write( "

Algebra.Com's Answer #352335 by mananth(16946) $\"\"$ $\"About$

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One leg =x
\n" ); document.write( "other leg = x+8\r
\n" ); document.write( "\n" ); document.write( "Hypotenuse = 2x-5\r
\n" ); document.write( "\n" ); document.write( "By Pythagoras theorem\r
\n" ); document.write( "\n" ); document.write( "(2x-5)^2=x^2+(x+8)^2
\n" ); document.write( "4x^2-20x+25=x^2+x^2+16x+64
\n" ); document.write( "2x^2-36x-39=0\r
\n" ); document.write( "\n" ); document.write( "Find the roots of the equation by quadratic formula
\n" ); document.write( "
\n" ); document.write( "a= 2 ,b= -36 c -39
\n" ); document.write( "
\n" ); document.write( "b^2-4ac= 1296 - 312
\n" ); document.write( "b^2-4ac= 1608
\n" ); document.write( " $\"sqrt%28%091608%09%29\"$ = 40.1
\n" ); document.write( " $\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( " $\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( "x1=( 36 + 40.1 )/ 4
\n" ); document.write( "x1= 19.02
\n" ); document.write( "x2=( 36 -40.1 ) / 4
\n" ); document.write( "x2= -1.025
\n" ); document.write( "Ignore negative value
\n" ); document.write( "shorter length = 19.02m
\n" ); document.write( "m.ananth@hotmail.ca
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