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)![]() ![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( " |