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pyramid problem

Source: Romanian District Olympiad 2000, Grade X, Problem 4

September 24, 2018
geometry3D geometrypyramidperimeterarea

Problem Statement

Consider the pyramid VABCD, VABCD, where V V is the top and ABCD ABCD is a rectangular base. If ∠BVD=∠AVC, \angle BVD = \angle AVC, then prove that the triangles VAC VAC and VBD VBD share the same perimeter and area.
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