A triangle can be constructed uniquely if its base, one base angle and the sum of the other two sides are given. What must be true for the construction to be possible?

Question

Accepted Answer

The given sum must be greater than the base. By the triangle inequality, the sum of two sides must exceed the third side. Here the sum of the other two sides must be greater than the base for a valid triangle to exist.

A triangle can be constructed uniquely if its base, one base angle and the sum of the other two sides are given. What must be true for the construction to be possible?

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