Relation among sides and angles of triangle

▸ Experiment 1: Relation between the sum of any two sides of a triangle and the third side.

Figure	AB	BC	AC	AB + BC	BC + AC	AB + AC	Result
I.
II.

Conclusion: The sum of any two sides of a triangle is greater than the third side.
i.e., AB + BC > AC, BC + AC > AB, and AB + AC > BC.

▸ Experiment 2: The angle opposite the longer side is greater than the angle opposite the shorter side.

Figure	AB	∠ACB	BC	∠BAC	AC	∠ABC	Result
I.
II.
III.

Conclusion: The angle opposite to the longer side is greater than the angle opposite to the shorter side.