1) The document describes a geometry problem where a square is drawn with labeled line segments of lengths AP=7, BP=35, CP=49, and the variable DP=x. Altitudes are drawn from point P to each side. 2) Using the Pythagorean theorem across four triangles formed by the lines and altitudes results in a system of equations that can be solved to find the value of x. 3) Solving the system of equations yields the solution x=35.