I'll give brainliest:

jen slices a cone with a height of 10 centimeters and a radius of 4 centimeters using a plane that is perpendicular to the base and that passes through the vertex of the cone. what is the area of the cross-section in square centimeters?

Step-by-step explanation:

A cross-section is the shape that results of the intersection of a plane with an abject.

When the cone is sliced by a plane perpendicular to the base and passes through the vertex, the cross-section obtained is a triangle.

The area of the triangle can be calculated with the formula:

Where the base of the triangle is b and its height is h.

The base of the triangle is the diameter of the cone. Knowing the radius, the diameter is:

Then:

The height ot this triangle is the height of the cone:

So, by substituting into the formula you get the area of the cross-section in square centimeters:

answer4 to the second power is 16

and 4 to the third power is 64,