# Thread: Pyramid find the value of the height in terms of a side

1. ## Pyramid find the value of the height in terms of a side

The picture: http://i55.tinypic.com/n324ip.png

The problem:
The pyramid above has altitude h and a square base of side m. The four edges that meet at V, the vertex of the pyramid, each having length e. If e=m, what is the value of h in terms of m

Question: The book i got this problem from already gives the answer (m/) but gives no explanation on how to solve it. I am having trouble finding a way to get that answer.
Help would be appreciated.

2. Originally Posted by yety124
The picture: http://i55.tinypic.com/n324ip.png

The problem:
The pyramid above has altitude h and a square base of side m. The four edges that meet at V, the vertex of the pyramid, each having length e. If e=m, what is the value of h in terms of m

Question: The book i got this problem from already gives the answer (m/) but gives no explanation on how to solve it. I am having trouble finding a way to get that answer.
Help would be appreciated.
drop a perpendicular from V to the square base and call the foot of perpendicular as K. note that K is the centre of the square base(prove it). then use pythagoras theorem.

3. thanks for the reply, but i dont really get it, by perpendicular does that mean a line from v to center of the square? And what does "prove it" mean, do i use Pythagoras or another equation?

4. Originally Posted by yety124
thanks for the reply, but i dont really get it, by perpendicular does that mean a line from v to center of the square? And what does "prove it" mean, do i use Pythagoras or another equation?
the base of the pyramid is a square... V is a point in space. now we are dropping a perpendicular to the base from V. the foot of perpendicular HAPPENS to be the centre of the square base and this is what has to be proved when i said "prove it".