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Triangular Pyramid

Source: 1997 National High School Mathematics League, Exam One, Problem 10

March 4, 2020
geometry3D geometrypyramidsphere

Problem Statement

Bottom surface of triangular pyramid Sāˆ’ABCS-ABC is an isosceles right triangle (hypotenuse is ABAB). SA=SB=SC=AB=2SA=SB=SC=AB=2, and S,A,B,CS,A,B,C are on a sphere with center of OO. The distance of OO to plane ABCABC is________.
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