calculate the volume of the pyramid
Source: Vietnam NMO 1985 Problem 6
February 12, 2009
geometry3D geometrypyramidgeometry unsolved
Problem Statement
A triangular pyramid with base has the property that the lengths of the altitudes from , and are not less than \frac{OB \plus{}OC}{2}, \frac{OC \plus{} OA}{2} and \frac{OA \plus{} OB}{2}, respectively. Given that the area of is , calculate the volume of the pyramid.