rachanapaladugu
rachanapaladugu rachanapaladugu
  • 13-07-2020
  • Mathematics
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suppose a cube is given. How many non-congruent triangles can be formed by connecting 3 of the vertices of the cube?

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PiaDeveau PiaDeveau
  • 20-07-2020

Answer:

3 non-congruent triangles

Step-by-step explanation:

Assume, side of cube is 1 unit.

24 triangles, faces of cube and side lengths = 1,1,√2

24 triangles, by 2 diagonal and one side and length = 1,√2 ,√23

8 triangles, using bases of tetrahedrons of the cube and side lengths = √2 ,√2 ,√2

Therefore,  3 non-congruent triangles. are formed.

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