In the regular quadrangular pyramid SABCD, point O is the center of the base

In the regular quadrangular pyramid SABCD, point O is the center of the base, S is the top, SO = 80, SA = 82. Find the length of the line segment AC.

OA is one of the bisectors, so we have given all the data to calculate an example. Let’s use the Pythagorean theorem:
ОА = √82 ^ 2 – 80 ^ 2;
OA = √6724 – √6400;
OA = √324
OA = 18;
After we have found the OA, we can find the AC:
AC = 18 * 2;
AC = 36.
Answer: AC = 36,