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For a given triangle, one of the sides can be distinguished as being the base.
It is immaterial which is so chosen.
The usual practice is that the triangle is drawn so that the base is made horizontal, and at the bottom.
In the above diagram, it would be conventional for the side $AC$ to be identified as the base.
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): base (of a triangle)