max volume of a pyramid with base an equilateral triangle and 2 right angles
Source: 2007 Sharygin Geometry Olympiad Correspondence Round P20
April 27, 2019
geometry3D geometrypyramidVolumemaximum
Problem Statement
The base of a pyramid is a regular triangle having side of size . Two of three angles at the vertex of the pyramid are right. Find the maximum value of the volume of the pyramid.