Regular triangular pyramid has the slant height k=12 cm and lateral area AL = 198 cm2. Find the length of the base edge.

Respuesta :

If s represents the edge length of the base, the lateral area is given by
  A = (1/2)*(3s)*(k)
We can substitute the given numbers and solve for s.
  198 cm² = (1/2)*(3s)*(12 cm)
  (198 cm²)/(18 cm) = s
  s = 11 cm

The length of a base edge is 11 cm.