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surface area of the circumsphere of the pyramid 2019 BMT Individual Tiebreaker 4

Source:

January 6, 2022
geometrypyramid3D geometrysphere

Problem Statement

Consider a regular triangular pyramid with base △ABC\vartriangle ABC and apex DD. If we have AB=BC=AC=6AB = BC =AC = 6 and AD=BD=CD=4AD = BD = CD = 4, calculate the surface area of the circumsphere of the pyramid.
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