document.write( "Question 1170835: The base of a triangle is 1 inch more than 3 times the height. If the area of the triangle is 40 square inches, then find the height. \n" ); document.write( "

Algebra.Com's Answer #795723 by ikleyn(52786) $\"\"$ $\"About$

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document.write( "Let x be the height, in inches.\r\n" );
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document.write( "Then the base is 3x+1  inch.\r\n" );
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document.write( "The area of the triangle is  ;   THEREFORE, your base equation is\r\n" );
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document.write( "     = 40   square inches.\r\n" );
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document.write( "Then you simplify it\r\n" );
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document.write( "    x*(3x+1) = 80\r\n" );
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document.write( "    3x^2 + x - 80 = 0\r\n" );
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document.write( "and solve it using the quadratic formula\r\n" );
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document.write( "     =  = .\r\n" );
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document.write( "You have two roots   = 5  and  ,  but only positive root is good as the solution to the problem.\r\n" );
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document.write( "ANSWER.  The height of the triangle is 5 inches.\r\n" );
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