For the last part think of the triangle as a plane. Express its equation in the form . Then the distance is given by the distance formula between this plane and .
I have attached the question. about the terahedron
part i) I had no problem with i got the volume as
for part ii) i use Pythagorus theorem to get the lengths of sides CA CA and AB then just used the cosine rule.
I am just stuck on the last part about the perpendicular distance.
Equation of a plane
however my only concern is that the question is aimed at students who are not familiar with plane geometry. I worried i missed something, can this be done another way ?