The formula for finding the surface area of a regular triangular pyramid

Answer 1

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