Quandaries
and Queries 

Hello I was wondering how to find the area of a pyramid when you don’t know the height of the face but the height of the Pyramids highest point? Jason 

Hi Jason, If the pyramid is regular then you can do it this way.
P is the vertex of the pyramid and R is the midpoint of the side AB. The line PQ is perpendicular to the base so, by the fact that the pyramid is regular, you can conclude that Q is in the center of the square base. Thus QR is half the length of AB. PQR is a right triangle and you know QR and PQ so you can use Pythagoras' Theorem to find PR. Penny 

