TITLE: Is it possible to have two triangles with equal sides but with different angles?
QUESTION [14 upvotes]: Can there be two triangles, for example $ \triangle ABC $ and $ \triangle DEF$ so that the measure of their sides is the same but their angles are different? Thanks.

REPLY [4 votes]: Take 3 sticks, each must be shorter than the sum of the other 2 sticks. Try to construct more than one triangle, can you? No. If you take 2 sticks and joins their ends, then the third stick will be the constraint for the other ends of the 2 sticks.