document.write( "Question 104813: I have a hexagon with 6 equal sides! I have only one measurement that runs from the top vertex to the opposite vertex(diagonally)and is 15ft. I am to find the area of the hexagon in square feet. Can you please help. Thanks, Joann \n" ); document.write( "
Algebra.Com's Answer #76282 by edjones(8007)\"\" \"About 
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A regular hexagon ha 6 equilateral triangles in it.
\n" ); document.write( "In this case each side is 15/2=7.5 feet
\n" ); document.write( "The altitude of one of the triangles divides it in half and is perpendicular to the base.
\n" ); document.write( "For one of these right angle triangles:
\n" ); document.write( "the base b=7.5/2=3.75
\n" ); document.write( "hypotenuse=c=7.5
\n" ); document.write( "altitude=a
\n" ); document.write( "a^2+b^2=c^2
\n" ); document.write( "a^2+3.75^2=7.5^2
\n" ); document.write( "a^2=7.5^2-3.75^2
\n" ); document.write( "a^2=56.25-14.0625
\n" ); document.write( "a^2=42.1875
\n" ); document.write( "a=6.49519 ft
\n" ); document.write( "area of any triangle=A=a*b/2
\n" ); document.write( "for one of the 6 equilateral triangles with sides of 7.5:
\n" ); document.write( "A=6.49519*7.5/2=24.357
\n" ); document.write( "Area of the regular hexagon=24.357*6= 146.142 sq ft.
\n" ); document.write( "Ed
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