PLEASE HELP 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?

Answer: [tex]40cm^2[/tex] 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: [tex]A=\frac{b*h}{2}[/tex] 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: [tex]diameter=2*radius\\diameter=2*4cm\\diameter=8cm[/tex] Then: [tex]b=8cm[/tex] The height ot this triangle is the height of the cone: [tex]h=10cm[/tex] So, by substituting into the formula you get the area of the cross-section in square centimeters: [tex]A=\frac{(8cm)(10cm)}{2})=40cm^2[/tex]