Question

Is △ABC obtuse angled?

Statement (I): a² + b² > c²
Statement (II): The circumcenter of the triangle does not lie inside the triangle.

1. If the question can be answered with statement I alone but not statement II alone, or can be answered with statement II alone but not statement I alone
2. If the question cannot be answered with statement I alone or with statement II alone, but can be answered if both statements are used together
3. If the question can be answered with either statement alone
4. If the question cannot be answered with the information provided

Explanatory Answer

Statement (I): a² + b² > c²
Not enough. We don’t have info about b² or a²

Statement (II): The circumcenter of the triangle does not lie inside the triangle.
Not enough. The triangle could be right-angled as well.

Combination is also not enough, it is valid for both right angled and obtuse angled triangles.

Answer Choice (D)