Can it be possible to have an acute scalene triangle?

Of course. Start with an equilateral triangle E, which is by definition acute. Use L to denote the length of the sides of E. Then add a tiny length ΔL to one leg, and subtract the same ΔL from another leg. ΔL is, of course, much smaller than L. The result will be an acute scalene triangle. read more

Acute, right, and obtuse are terms that apply to one angle of a triangle, with the other two being necessarily acute. (All triangles have at least two acute angles.) An acute-angled triangle must have three acute angles, but the side lengths can be all different, so the answer is yes. read more

Of course. Acute means that all angles are less than 90 degrees, and scalene means that none of its sides or angles match. read more