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Count the Number of Triangles

Source: 1989 National High School Mathematics League, Exam One, Problem 4

February 25, 2020
geometry3D geometry

Problem Statement

Three points of a triangle are among 8 vertex of a cube. So the number of such acute triangles is (A)0(B)6(C)8(D)24\text{(A)}0\qquad\text{(B)}6\qquad\text{(C)}8\qquad\text{(D)}24
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