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:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.