document.write( "Question 996106: A landowner wishes to use 3 miles of fencing to enclose an isosceles triangular region of as large an area as possible. What should be the lengths of the sides of the triangle?\r
\n" ); document.write( "\n" ); document.write( "Let x be the length of the base of the triangle. Write the area as a function of x. [First write the length of the equal-length sides in terms of the base, x, then write the height of the triangle in terms of the base.] \r
\n" ); document.write( "\n" ); document.write( "A(x) =
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\n" ); document.write( "Length of base = ? miles
\n" ); document.write( "Length of the other two (equal-length) sides = ? miles each\r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( "

Algebra.Com's Answer #614688 by MathTherapy(10555)\"\" \"About 
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\n" ); document.write( "A landowner wishes to use 3 miles of fencing to enclose an isosceles triangular region of as large an area as possible. What should be the lengths of the sides of the triangle?\r
\n" ); document.write( "\n" ); document.write( "Let x be the length of the base of the triangle. Write the area as a function of x. [First write the length of the equal-length sides in terms of the base, x, then write the height of the triangle in terms of the base.] \r
\n" ); document.write( "\n" ); document.write( "A(x) =
\n" ); document.write( "
\n" ); document.write( "Length of base = ? miles
\n" ); document.write( "Length of the other two (equal-length) sides = ? miles each\r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( "
Length of base: x
\n" ); document.write( "Sum of equal sides: 3 – x
\n" ); document.write( "Length of each equal side: \"%283+-+x%29%2F2\"
\n" ); document.write( "Using the pythagorean formula: \"a%5E2+%2B+b%5E2+=+c%5E2\", we get the height (H), as: H = \"sqrt%289+-+6x%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "Area, or A(x): \"%281%2F2%29bh\", or \"%281%2F2%29+%2A+x+%2A+%28sqrt%289+-+6x%29%2F2%29\"
\n" ); document.write( "\"highlight_green%28A%28x%29+=+x+%2A+%28sqrt%289+-+6x%29%2F4%29%29\" \n" ); document.write( "
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