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.
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 .
That worked a treat, I used the formula outlined here Equation of a plane
Originally Posted by ThePerfectHacker
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 ?
Let denote the area of the base triangle.
Originally Posted by bobak
Use the hint: If you already know the volume of the tetrahedron then you can calculate the height by:
Very neat, now the first two parts make a lot more sense.
Originally Posted by earboth