In a regular quadrangular pyramid SABCD, point O is the center of the base. S-vertex. SO = 30, SA = 34. find AC.

To solve it, you need to draw a picture where you indicate:
SO is the height of the pyramid and is equal to 30.
SA lateral edge, which is equal to SC, since it is a regular pyramid.
Consider a triangle SАС, in which SO is the height and the median.
Behind the Pythagorean theorem:
AO ^ 2 = 34 ^ 2 – 30 ^ 2, where AC = 16.
AC = 2 * AO, then AC = 16 * 2 = 32.