MathDB

A pyramid has a triangular base with side lengths

20

20

, and

24

. The three edges of the pyramid from the three corners of the base to the fourth vertex of the pyramid all have length

25

. The volume of the pyramid is

m\sqrt{n}

, where

m

and

n

are positive integers, and

n

is not divisible by the square of any prime. Find

m+n

Problem Statement