MathDB

8

Part of 1987 National High School Mathematics League

Problems(1)

How Many Tetrahedrons?

Source: 1987 National High School Mathematics League, Exam One, Problem 8

2/24/2020
We have two triangles that lengths of its sides are 3,4,53,4,5, one triangle that lengths of its sides are 4,5,414,5,\sqrt{41}, one triangle that lengths of its sides are 562,4,5\frac{5}{6}\sqrt2,4,5. The number of tetrahedrons with such four surfaces is________.
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