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Regular Triangular Pyramid Problem

Source: 1991 National High School Mathematics League, Exam One, Problem 13

February 26, 2020
geometry3D geometrypyramidratio

Problem Statement

In regular triangular pyramid Pāˆ’ABCP-ABC, POPO is its height, MM is the midpoint of POPO. Draw the plane that passes AMAM and parallel to BCBC. Now the triangular pyramid is divided into two parts. Find the ratio of their volume.
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