The surface area (OSA) of a regular triangular pyramid can be calculated using the formula:
\[ OSA = \frac{\sqrt{3}}{4} a^2 + \frac{3}{2} a h \]
where \( a \) is the length of the side of the base (which is a triangle) and \( h \) is the height of the pyramid.
However, your provided options don’t appear to directly match standard mathematical notation or widely recognized formulas for surface area. If we're simply looking for the correct formula among the ones you provided, none seem to apply as they are not recognizable standard formulas for the surface area of a regular triangular pyramid.
The proper formula you would want is indeed related to the base area and the lateral surface area, as indicated above. For clarification, the surface area can also be calculated as:
\[ OSA = \text{Base area} + \text{Lateral area} \]
To summarize, if you need the surface area of a regular triangular pyramid, you should use the appropriate formula involving the base area and lateral surface area as demonstrated above.
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