document.write( "Question 196950: Determine the maximum area of a triangle, in square centimeters, if the sum of its base and its height is 10cm. Be sure to include\"let statements\"
\n" ); document.write( "let the base = x
\n" ); document.write( "so height = 10-x
\n" ); document.write( " $\"A%28x%29=1%2F2%2Abase%2Aheight\"$
\n" ); document.write( " $\"A%28x%29=1%2F2%2Ax%2810-x%29=5x-0.5x%5E2\"$
\n" ); document.write( "x coordinate of Vertex of the parabola = $\"-b%2F2a+=-5%2F%282%2A-0.5%29=5\"$
\n" ); document.write( "y coordinate of Vertex of the parabola = $\"f%28-b%2F2a%29=5%285%29-0.5%285%5E2%29=12.5\"$
\n" ); document.write( "So max. area is $\"12.5m%5E2\"$ \n" ); document.write( "

Algebra.Com's Answer #147654 by mathsteacher(28) $\"\"$ $\"About$

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