Asquare pyramid has sides of 8 m. each face is an equilateral triangle. what is the lateral area of the pyramid?

The lateral area is equal to

Step-by-step explanation:

In this problem the lateral area is equal to the area of one equilateral triangle multiplied by

To find the area of one equilateral triangle calculate the height

The area of the triangle is equal to

we have

Applying the Pythagoras theorem

The area of one triangle is equal to

so

The lateral area is equal to