+619 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 $TA = TB = 10$ and $TC = 9$, then what is the volume of pyramid $TABC$?
+9479 
Let the base of TABC be triangle BCT.
TB and TC are perpendicular, so we can let TB and TC be the base and height of the triangle.
area of BCT = (1/2)(10)(9)
area of BCT = 45
TA is perpendicular to the base, so its length = the height of TABC
volume of TABC = (1/3)(area of base)(height)
volume of TABC = (1/3)(45)(10)
volume of TABC = 150 cubic units
+9479
Let the base of TABC be triangle BCT.
TB and TC are perpendicular, so we can let TB and TC be the base and height of the triangle.
area of BCT = (1/2)(10)(9)
area of BCT = 45
TA is perpendicular to the base, so its length = the height of TABC
volume of TABC = (1/3)(area of base)(height)
volume of TABC = (1/3)(45)(10)
volume of TABC = 150 cubic units
