ok equilateral triangle altitude=27 height=27 if you drwa the height, you see that the equilateral triangle is split up into 2 right trnalges
base=1/2 of one side hypotonuse=1 side vertical side=27 represent measure of 1 side as x base=x/2 hypotonuse=x vertical side=27
we have a right triangle use pythagoran theorem a^2+b^2=c^2 a=x/2 b=27 c=x so
(x/2)^2+27^2=x^2 (x^2)/4+729=x^2 multiply both sides by 4 to clear fraction x^2+2916=4x^2 subtract x^2 fromboth sides 2916=3x^2 divide both sides by 3 972=x^2 squuare root both sides 18√3
