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For example: In a triangle ABC denoted by (equation with variable n), as n increases, the length of BC decreases.

So I've used mathematical/full induction to show how the distance decreases. Now I want to also show that as n increase the angle BAC decreases. And if angle BAC decreases, using logic, the length of BC must decrease as well.

And same goes for the area. I've proved that when n increases the area of triangle ABC decreases, which corresponds to the decreasing length of BC.

What do I call this type of proof? Is it analytical proof? :(