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Let the side of an equilateral triangle be "a" cm.
By using Pythagoras Theorem,
$$a^2-\left(\dfrac{a}{2}\right)^2=\left(18\right)^2$$
$$\dfrac{3a^2}{4}=324$$
$$a^2=\dfrac{\left(324\times4\right)}{3}=432\ cm^2$$
Area of triangle = $$\dfrac{\sqrt{3}}{4}\times a^2=\dfrac{\sqrt{3}}{4}\times432=108\sqrt{3}cm^2$$
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