Question

Find the lateral surface area of the triangular pyramid with an equilateral base represented in the net. (1 point) m2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the lateral surface area of the triangular pyramid, we need to find the area of each triangular face and add them together.

First, find the area of the equilateral triangle base. Since it is an equilateral triangle, all sides are equal. Let's call the side length "s".

To find the area of an equilateral triangle with side length "s", we can use the formula:

Area = (s^2 * sqrt(3)) / 4

Next, find the area of the three triangular faces. These are also equilateral triangles with side length equal to the slant height of the pyramid. Let's call the slant height "h".

To find the area of each triangular face, we can use the formula:

Area = (s * h) / 2

Now, calculate the lateral surface area by adding up the areas of the three triangular faces:

Lateral Surface Area = 3 * (s * h) / 2

Add this to the base area to get the total surface area of the pyramid.