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To find the area of the base of the triangular prism, we need to use the formula for the area of a triangle, which is:
Area = 0.5 * base * height
For the base of the triangular prism, we can use the base of the triangle. Since the base of the triangular prism is given as 3cm, and the height is given as 2cm, the area of the base would be:
Area = 0.5 * 3cm * 2cm
Area = 0.5 * 6cm^2
Area = 3cm^2
Therefore, the area of the base of the triangular prism is 3 cm^2.