document.write( "Question 245444: what is the area of an equilateral triangle(regular 3-gon) with the given measurement of 6inch side the formula is A=sq.in \n" ); document.write( "
Algebra.Com's Answer #179278 by richwmiller(17219)\"\" \"About 
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What is the formula for the area of a triangle? 1/2 bh=area
\n" ); document.write( "what is the base? 6
\n" ); document.write( "what is the height?
\n" ); document.write( "To calculate the height we have to draw a line from the center of one side to the angle opposite it forming a right triangle. With one side (the hypotenuse) =6
\n" ); document.write( "the one side 1/2 the side (3) and the height (h).
\n" ); document.write( "So we have
\n" ); document.write( "h^2+b^2=c^2
\n" ); document.write( "where c=6 and b=3
\n" ); document.write( "h^2+3^2=6^2
\n" ); document.write( "h^2+9=36
\n" ); document.write( "h^2=27
\n" ); document.write( "h=sqrt(27)
\n" ); document.write( "so now we go back to the equilateral triangle and use 1/2 bh
\n" ); document.write( "where b=6 and h=sqrt(27)
\n" ); document.write( "Sqrt(27)=Sqrt(9*3)=3 Sqrt(3) square inches
\n" ); document.write( "1/2*6*3sqrt(3)=3*3sqrt(3)=9 Sqrt(3)\r
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