Question 187
Suppose 5 line segments are given on a plane satisfying the following property:
Of the 10 possibilities for choosing 3 line segments from the given 5, in 9 cases, one can form an acute triangle with the chosen 3 line segments.
Prove that in the remaining 10-th possibility for the choice of 3 line segments, there is a triangle with the 3 chosen line segments as its sides.
Of the 10 possibilities for choosing 3 line segments from the given 5, in 9 cases, one can form an acute triangle with the chosen 3 line segments.
Prove that in the remaining 10-th possibility for the choice of 3 line segments, there is a triangle with the 3 chosen line segments as its sides.