Find radius of the incircle of a regular tetrahedron the length of each side being $\displaystyle k$ units.

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- Jan 8th 2009, 05:29 AMpankajtetrahedron
Find radius of the incircle of a regular tetrahedron the length of each side being $\displaystyle k$ units.

- Jan 8th 2009, 12:35 PMearboth
I assume that you mean the insphere. If so have a look here:

Tetrahedron - Wikipedia, the free encyclopedia

Ifis the length of one edge then the radius of the insphere is $\displaystyle r = \dfrac a{\sqrt{24}}$*a*