
5.3.1.11 Construction of sections
Condition: On the edge \( S B \) of the pyramid \( S A B C \), points \( D \) and \( E \) are chosen so that \( S D=D E=1, B E=2 \). Sections of the pyramid by planes perpendicular to the edge \( S B \) and passing through the points \( D \) and \( E \), have areas of 5 and 16, respectively, and the first of these sections is a triangle, one of the vertices of which divides the edge \( S A \) in the ratio \( 2: 1 \), counting from the vertex \( S \). Find in what respects the second section divides the edges of the pyramid.