The formula for finding the surface area of a regular triangular pyramid
The formula for finding the surface area of a regular triangular pyramid is:
Surface Area = (base area) + (3 * (base side length) * (slant height))/2
The base area is found by:
(base area) = (base side length^2 * √3)/4
The slant height can be found using the Pythagorean theorem:
slant height = √((height^2) + ((base side length^2)/12))
So, the complete formula for the surface area of a regular triangular pyramid is:
Surface Area = (base side length^2 * √3)/4 + (3 * (base side length) * √((height^2) + ((base side length^2)/12)))/2