To solve for the missing side length AB of a right triangle using the tangent ratio, we typically need to know the lengths of the other side and the angles involved (specifically one of the non-right angles).
The tangent ratio is defined as:
\[ \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} \]
Where:
- \(\theta\) is one of the angles in the triangle (not the right angle),
- the "opposite" side is the side opposite angle \(\theta\),
- the "adjacent" side is the side next to angle \(\theta\) that is not the hypotenuse.
Given that we do not have the angle or any other side length provided in the prompt, we cannot solve for the missing length AB purely based on the information provided.
If you have more information about the triangle, such as the angle measures or the lengths of the other sides, please provide it so we can proceed with the calculation.
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