To find the area of triangle ABC with sides AC = 4 cm, AB = 3 cm, and angle A = 60 degrees, the formula A = 1/2 * a * b * sin(θ) is applicable. Substituting the values, the area can be calculated as A = 1/2 * 4 * 3 * sin(60°). The sine of 60 degrees is √3/2, leading to an area of 6√3/4 cm², which simplifies to approximately 2.598 cm². The height from point C can also be derived using the area formula, confirming the calculations.