Question 1
Given a regular hexagon, we construct all possible triangles from its vertices. We find that:
- There are $L$ possible acute triangles.
- There are $M$ possible right triangles.
- There are $N$ possible obtuse triangles.
Triangles are considered distinct if they have at least one different vertex, even if the triangles are congruent. What is the value of $L\times M\times N$?
- There are $L$ possible acute triangles.
- There are $M$ possible right triangles.
- There are $N$ possible obtuse triangles.
Triangles are considered distinct if they have at least one different vertex, even if the triangles are congruent. What is the value of $L\times M\times N$?