MathDB
Triangular Pyramid

Source: 1999 National High School Mathematics League, Exam One, Problem 12

March 10, 2020
geometry3D geometrypyramid

Problem Statement

The bottom surface of triangular pyramid S−ABCS-ABC is a regular triangle. Projection of AA on plane SBCSBC is HH, which is the orthocenter of △SBC\triangle SBC. If H−AB−C=30∘,SA=23H-AB-C=30^{\circ},SA=2\sqrt3, then the volume of S−ABCS-ABC is________.
Back to ProblemsView on AoPS