document.write( "Question 1175607: The height of a triangle is 2 m more than twice the length of the base. The area of the triangle is 30 m^2. Find the height of the triangle \n" ); document.write( "

Algebra.Com's Answer #801237 by ikleyn(52777) $\"\"$ $\"About$

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document.write( "Let x be the height;  then the base is (x-2)/2 meters.\r\n" );
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document.write( "The area equation is\r\n" );
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document.write( "     = 30.\r\n" );
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document.write( "Simplify and solve\r\n" );
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document.write( "    x*(x-2) = 120\r\n" );
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document.write( "    x^2 - 2x - 120 = 0\r\n" );
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document.write( "    (x-12)*(x+10) = 0\r\n" );
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document.write( "Of the two roots,  12  and  -10,  only  x= 12 is positive and makes sense.\r\n" );
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document.write( "ANSWER.  The height is 12 meters.\r\n" );
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