Neka je
![ABCD](/media/m/9/c/e/9ce25711ba18d9663b73c3580de4bf5a.png)
tetraedar u kojem je
![\sphericalangle BAC = \sphericalangle CAD = \sphericalangle DAB = 90^\circ](/media/m/a/f/d/afd927940dd7304b04e3c488913feedf.png)
,
![|AD| = 2\sqrt{2}](/media/m/5/d/9/5d9b68545b25cd0aa620bd6b8cdc673a.png)
te
![|AB| = |AC| = 3](/media/m/4/d/8/4d8c6c1e40144836f7ca57ebe98ed5b7.png)
. Odredi polumjer sfere upisane tetraedu.
%V0
Neka je $ABCD$ tetraedar u kojem je $\sphericalangle BAC = \sphericalangle CAD = \sphericalangle DAB = 90^\circ$, $|AD| = 2\sqrt{2}$ te $|AB| = |AC| = 3$. Odredi polumjer sfere upisane tetraedu.