STATEME In $$ riangle A O B $$, $$ \mathrm{OA}=\mathrm{OB} $$

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STATEME In $$ 	riangle A O B $$, $$ \mathrm{OA}=\mathrm{OB} $$

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In triangle $$ 	riangle AOB $$, the condition $$ \mathrm{OA} = \mathrm{OB} $$ indicates that the triangle is isosceles. This means that the two sides $$ OA $$ and $$ OB $$ are equal in length.

### Known Conditions:
1. $$ OA = OB $$ (the lengths of the sides from point $$ O $$ to points $$ A $$ and $$ B $$ are equal).

### Implications:
- Since $$ OA $$ and $$ OB $$ are equal, the angles opposite these sides, $$ \angle AOB $$ and $$ \angle OAB $$, are also equal. This is a property of isosceles triangles.

### Conclusion:
- The triangle $$ 	riangle AOB $$ is isosceles with $$ OA = OB $$ and $$ \angle OAB = \angle OBA $$.

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In triangle $$ 	riangle AOB $$, since $$ OA = OB $$, the triangle is isosceles with equal angles at $$ A $$ and $$ B $$.

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