document.write( "Question 3170: The area of a triangle is 36 square meters. The height is two more than four times the base. Find the height and base.\r
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document.write( "GOT THIS FAR:\r
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document.write( "Let x = the base
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document.write( "Let 4x + 2 = the height
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document.write( "Let 36^ = area\r
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document.write( "x^2 + (4x+2)^2 = 36^2\r
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document.write( "Please help me. I am losing my mind. \n" );
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Algebra.Com's Answer #327383 by cleomenius(959)![]() ![]() You can put this solution on YOUR website! The previous work is good:\r \n" ); document.write( "\n" ); document.write( "36 = 1/2(4x + 2)*(x)\r \n" ); document.write( "\n" ); document.write( "which evaluates to our quadratic \r \n" ); document.write( "\n" ); document.write( "2x^2 + x -36 = 0\r \n" ); document.write( "\n" ); document.write( "This does factor nicely\r \n" ); document.write( "\n" ); document.write( "(2x + 9)(x - 4)\r \n" ); document.write( "\n" ); document.write( "We take the positive 0; so x = 4.\r \n" ); document.write( "\n" ); document.write( "36 = 1/2( (4 * 4 )+ 2) (4) \n" ); document.write( "As we can see, this does check. \n" ); document.write( " |