Your choices are
Right
Obtuse
Acute

Step-by-step explanation:

Think about a right triangle with legs AB and AC. Then you have ...

  AB² +AC² = BC² = 10² = 100

If AB and AC are shorter than that, the sum of their squares will be less than 100. When the legs of a right triangle are shortened, the angle between them must increase in order for them to continue to form a triangle.

The triangle with AB² +AC² < 100 is an obtuse triangle.

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Conversely, if AB and AC are lengthened so the sum of their squares is greater than 100, the angle between them will have to decrease for them to form a triangle.

The triangle with AB² +AC² > 100 is an acute triangle.

2x^2+5x+17

your welcome. : )