Height explanation HELP

[Ana.stasia]

I am pretty sure R does not equal 2/3 ha or 1/3 ha, however, I am not sure why that is. Why isn’t it the same, or if it is, why?



What splits the ha into this ratio? If i had a pyramid, would its height divide the height of the base like this?

 

[Dr.Peterson]

What do you know about the intersection of the medians of a triangle?

 

[JeffM]

You have not said what you are even talking about. It is quite obvious that this is not generally true for inscribed triangles. Is this triangle supposed to be equilateral or something?

 

[skeeter]

What do you know about the intersection of the medians of a triangle?

see posts #7 & #8

Calculate the volume of a cube inside an octahedron?

The question is: The centers of the sides of the regular octahedron (does the "regular" imply that all edges are equal or just the base ones) are the vertices of a cube. Calculate the volumes of both shapes. I have tried to draw it, however, it seems my cube is more of a square. The hint...

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