yes.. isosceles
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In any right triangle, the two angles at either end of the hypotenuse are both always acute angles. But I don't think that would be called an 'acute' triangle, because an acute triangle is one in which all three angles are acute ones.
nope. if it did, the two other ends wouldn't be able to meet with obtuse angles. A triangle must have two or three acute angles. A triangle always has interior angles that sum to 180 degrees. If a triangle had only one acute angle, the sum of its angles would be more than 180 degrees, which is not possible.
Yes. Every triangle with an obtuse angle must have two acute angles.
A scalene triangle could have three acute angles, one right angle and two acute angles, or one obtuse angle and two acute angles.
No triangle is never acute in the sense that every triangle has at least two acute angles.