document.write( "Question 531566: Suppose your house is on a large corner lot. The children in the neighborhood cut across your lawn, along a distance of 43 ft.
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document.write( "a) Find x if 2 sides of the lawn are 3x and 4x.
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document.write( "This makes a triangle. \n" );
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Algebra.Com's Answer #350512 by unlockmath(1688)![]() ![]() You can put this solution on YOUR website! Hello, \n" ); document.write( "We can set this up as: \n" ); document.write( "(3x)^2 + (4x)^2 = 43^2 \n" ); document.write( "Rewritten as: \n" ); document.write( "9x^2 + 16x^2 = 1849 \n" ); document.write( "Simplify \n" ); document.write( "25x^2=1849 \n" ); document.write( "Divide by 25 to get: \n" ); document.write( "x^2 = 73.96 \n" ); document.write( "Square root both sides to get: \n" ); document.write( "x=8.6 feet \n" ); document.write( "Now we know one side is 25.8 feet and the other is 34.4 feet \n" ); document.write( "Make sense? \n" ); document.write( "RJ \n" ); document.write( "www.math-unlock.com \n" ); document.write( " |