Question

If three points A, B, C are given. What is condition for collinear, equilateral triangle, isosceles triangle, right triangle.

Answer 1

Answer:

The probabilities are 1, 0 and 0 respectively. To form a (non-degenerate) triangle the points must not be on a straight line. But the probability that this happens exactly is zero. Similarly, to get an exact equilateral triangle or right triangle is virtually impossible—given two vertices, the third is restricted to a tiny subset of the square, one with measure zero

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Answer 2

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