document.write( "Question 144664: Find the area of an equilateral triangle in which the height is 3 square root of 3. \n" ); document.write( "
Algebra.Com's Answer #105411 by checkley77(12844)\"\" \"About 
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What you have is a right triangle with the height(3sqrt3) the other side (x) & the hypotenuse (2x)
\n" ); document.write( "a^2+b^2=c^2
\n" ); document.write( "x^2+(3sqrt3)^2=(2x)^2
\n" ); document.write( "x^2+9*3=4x^2
\n" ); document.write( "x^2+27-4x^2=0
\n" ); document.write( "-3x^2=-27
\n" ); document.write( "x^2=-27/-3
\n" ); document.write( "x^2=9
\n" ); document.write( "x=sqrt9
\n" ); document.write( "x=3 for the short side.
\n" ); document.write( "2*3=6 for the hypotenuse.
\n" ); document.write( "area=3*3sqrt3
\n" ); document.write( "area=9*1,732
\n" ); document.write( "area=15.59 answer.
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