Asquare pyramid has sides of 6 m. each face is an equilateral triangle. what is the lateral area of the pyramid?

Since it is a square pyramid, we know that there are 4 faces of this pyramid. The question tells us that these triangles are equilateral, so we know that all of the sides of the triangles are equal.

We need to find the area of one of these triangles and then multiply by 4 to find the lateral area of the pyramid.

So to find the area of a triangle, we know that the equation is:

, and we know that the base of the triangle is 6m. To find the height, we must cut the equilateral triangle in half and use the Pythagorean theorem - we know that the base is 3m (since we cut the triangle in half) and hypotenuse is 6m.

So using the theorem:

So now we can plug this height in to the equation for the area of one of the triangles, but using 6m for the base since we want to know the area of the entire face of the pyramid:

So we know that the area of one face of the pyramid is .

Now we must multiply this by 4 to find the total lateral area of this square pyramid:

So now we know that the lateral area of this square pyramid is .

step-by-step explanation:

y/x of point b= y/x of point a

step-by-step explanation:

(i got the same question, this was the correct answer.)