MathDB
Pyramid

Source: Moldavian MO 2006

March 19, 2006
geometry3D geometrypyramidratiogeometry proposed

Problem Statement

Let ABCDEABCDE be a right quadrangular pyramid with vertex EE and height EOEO. Point SS divides this height in the ratio ES:SO=mES: SO=m. In which ratio does the plane (ABC)(ABC) divide the lateral area of the pyramid.