document.write( "Question 287567: Diagonal brace. The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures sqrt of 6 meters.
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document.write( "Length x + 2
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document.write( "Height x
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document.write( "Diagonal Brace sqrt of 6.
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Algebra.Com's Answer #208537 by dabanfield(803)![]() ![]() ![]() You can put this solution on YOUR website! So you have a right triangle with sides x and x+2 and hypotenuse sqrt(6). By the Pythagorean Theorem:\r \n" ); document.write( "\n" ); document.write( "x^2 + (x+2)^2 = (sqrt(6))^2\r \n" ); document.write( "\n" ); document.write( "x^2 + x^2 + 4x + 4 = 6\r \n" ); document.write( "\n" ); document.write( "2x^2 + 4x - 2 = 0\r \n" ); document.write( "\n" ); document.write( "Divide both sides by 2:\r \n" ); document.write( "\n" ); document.write( "x^2 + 2x - 1 = 0\r \n" ); document.write( "\n" ); document.write( "Use the quadratic formula to find x and calculate x+2.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |