document.write( "Question 522070: The height of a triangle is two more than three times the base. Determine the dimensions that will give a total of 28yds². What is the minimum area of such a triangle \n" ); document.write( "

Algebra.Com's Answer #346676 by mananth(16946) $\"\"$ $\"About$

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base =b
\n" ); document.write( "height = 3b+2\r
\n" ); document.write( "\n" ); document.write( "1/2 * b*(3b+2)=28
\n" ); document.write( "b(3b+2)=28*2
\n" ); document.write( "3b^2+2b=56
\n" ); document.write( "3b^2+2b-56=0\r
\n" ); document.write( "\n" ); document.write( "Find the roots of the equation by quadratic formula
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\n" ); document.write( "a= 3 ,b= 2 ,c= -56
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\n" ); document.write( "b^2-4ac= 4 + 672
\n" ); document.write( "b^2-4ac= 676
\n" ); document.write( " $\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( " $\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( " $\"x1=%28-12%2B21%29%2F%2812%29\"$
\n" ); document.write( "x1=( -2 + 26 )/ 6
\n" ); document.write( "x1= 4
\n" ); document.write( "x2=( -2 -26 ) / 6
\n" ); document.write( "x2= -4.67
\n" ); document.write( "Ignore negative value \r
\n" ); document.write( "\n" ); document.write( "base =4 and height = 3b+2 = 14 \r
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