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Right triangle ABC is base of pyramid ABCD, AD=BD and AB=CD

Source:

February 2, 2011
geometry3D geometrypyramidgeometry proposed

Problem Statement

Triangle ABCABC with BAC=90\angle BAC=90^{\circ} is the base of the pyramid ABCDABCD. Moreover, AD=BDAD=BD and AB=CDAB=CD. Prove that ACD30\angle ACD\ge 30^{\circ}.