When constructing a triangle given the base BC, the angle B, and the difference of the other two sides AB - AC, the difference must satisfy:

Question

Accepted Answer

AB - AC < BC. By the triangle inequality, the difference of two sides must be less than the third side, so AB - AC must be less than BC for the construction to give a valid triangle.

When constructing a triangle given the base BC, the angle B, and the difference of the other two sides AB - AC, the difference must satisfy:

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