RU-SPB 2012 Problem 113

Grade 11

At the base of the pyramid $SABCD$ lies a convex quadrilateral $ABCD$ , such that $BC * AD = BD * AC$ . Also $\angle ADS =\angle BDS ,\angle ACS =\angle BCS$ . Prove that the plane $SAB$ is perpendicular to the plane of the base.

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Solutions

Similar problems