Points \(A,B,C\) and \(T\) are in space such that each of \(\overline{TA}, \overline{TB}\), and \(\overline{TC}\) is perpendicular to the other two. If \(TA = TB = 12\) and \(TC = 6\), then what is the distance from \(T\) to face \(ABC\)?

Guest Apr 18, 2019