document.write( "Question 1083215: The base and height of a triangle total 14 cm and the area is 20 cm2. Find the dimensions of the triangle. \n" ); document.write( "

Algebra.Com's Answer #697256 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "b + h   = 14,    (1)\r\n" );
document.write( " = 20.    (2)\r\n" );
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document.write( "Transform:\r\n" );
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document.write( "b  = 14 - h,     (1')\r\n" );
document.write( "b*h    = 40.     (2')\r\n" );
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document.write( "Substitute (1') into (2')). You will get\r\n" );
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document.write( "(14-h)*h) = 40,\r\n" );
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document.write( "14h - h^2 = 40,\r\n" );
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document.write( "h^2 - 14h + 40 = 0,\r\n" );
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document.write( "Factor left side:\r\n" );
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document.write( "(h-10)*(h-4) = 0.\r\n" );
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document.write( "There are two solutions:\r\n" );
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document.write( "1)  h = 10.   Then b = 4.\r\n" );
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document.write( "2)  h = 4.    Then b = 10.\r\n" );
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document.write( "Answer.  There are two solutions:  1)  h = 10, b = 4   and   2)  h = 4, b = 10.\r\n" );
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