This is a triangle classification question. Let's break down the triangle's properties to classify it:

1. Angles of the Triangle:

   • $\angle X = 42^\circ$
   • $\angle Y = 57^\circ$
   • $\angle Z = 81^\circ$
   • The sum of the angles confirms this is a valid triangle since $42^\circ + 57^\circ + 81^\circ = 180^\circ$.

   All angles are less than $90^\circ$, so this is an acute triangle.

2. Sides of the Triangle:

   • $XY = 8.36$, $XZ = 7.16$, $YZ = 5.63$.
   • All three sides are of different lengths, meaning the triangle is scalene.

3. Classification: Since the triangle is acute and scalene, the correct answer is Scalene Acute.

Would you like a further breakdown of the calculations?

Here are 5 related questions to explore:

1. What distinguishes an acute triangle from an obtuse triangle?
2. How do you confirm a triangle's validity using its angles?
3. How do you identify if a triangle is isosceles, equilateral, or scalene?
4. Why is the sum of angles in a triangle always $180^\circ$?
5. How can the triangle inequality theorem be applied to verify side lengths?

Tip: For any triangle, if all angles are less than $90^\circ$, it is guaranteed to be an acute triangle.