Let's find the other leg....this is given by
√(6^2 - 3^2) = √(36 - 9) = √27
So.one leg is a base and the other is a height (it doesn't matter which)... and the area of the triangle is
(1/2)(3)(√27) = (1.5)√27 = (1.5)(3)√3 = 4.5√3 = about 7.794 sq units