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**empireruler** The base edges of a triangular pyramid are 25, 39, and 50 inches long, and all three lateral faces have a slant height of 24. What is the height of the pyramid?

I am really stuck on this problem. I don't think I did it right.

To start out with I found the circumcenter of the triangle (I figure the height projected onto the triangle would be its circumcenter. I then found the distance from the circumcenter to the sides of the triangle and was planning on using pythagorean theorum to find the height. However, the distance from the circumcenter to the side is greater than 24. Did I do something wrong?