Update mentoring.md - corrected md file

In aligment with the Pull Review I've changed the format of this file

tracks/csharp/exercises/triangle/triangle/mentoring.md

@@ -1,14 +1,109 @@
-We need to check first if the triangle is a triangle.
-```
-  static bool IsTriangle(double a, double b, double c) => a + b > c && a + c > b && b + c > a;
-```
-Then, all of the methods have to invoke it as a first step and add the rest of the condition
-```
-  public static bool IsEquilateral(double a, double b, double c) => IsTriangle(a,b,c) && a == b && b == c;
-  public static bool IsIsosceles(double a, double b, double c) => IsTriangle(a,b,c) && (a == b || b == c || a == c);
-  public static bool IsScalene(double a, double b, double c) => IsTriangle(a,b,c) && (a != b && b != c && a != c);
+# Mentoring Notes: Triangle
+
+## Goal
+The goal of the Triangle exercise is to practice working with conditional logic, enums, and C#'s switch expressions and pattern matching. This exercise demonstrates how to use both `if` statements and `switch` expressions effectively, encouraging students to write clean, readable, and maintainable code.
+
+---
+
+## Talking Points
+
+### Enums
+Enums are a strongly typed way to represent a set of named constants. They are commonly used to make code more readable and maintainable. In this exercise, an enum is used to represent the types of triangles.
+
+- [MS Docs: Enum Documentation](https://learn.microsoft.com/en-us/dotnet/csharp/language-reference/builtin-types/enum)
+- [Stack Overflow: what is enum and where can we use it?](https://stackoverflow.com/questions/38468017/what-is-enum-and-where-can-we-use-it)
+
+### Switch Statements and Pattern Matching
+Switch expressions and pattern matching in C# provide a concise and powerful way to control flow based on conditions. They are particularly useful for implementing logic to determine the type of a triangle.
+
+- [MS Docs: Switch Statement](https://learn.microsoft.com/en-us/dotnet/csharp/language-reference/statements/selection-statements#the-switch-statement)
+- [MS Docs: Pattern Matching](https://learn.microsoft.com/en-us/dotnet/csharp/fundamentals/functional/pattern-matching)
+- [Medium: # C# Pattern Matching Examples](https://medium.com/@josiahmahachi/c-pattern-matching-examples-f8162ea76db6)
+
+### Triangle Logic
+Understanding the rules that determine the type of a triangle is key to solving this problem:
+- An equilateral triangle has all sides equal.
+- An isosceles triangle has at least two sides equal.
+- A scalene triangle has all sides different.
+- A triangle must satisfy the triangle inequality rule: the sum of any two sides must be greater than the third side.
+
+---
+
+## Example Code: Full Solution
+Here is a complete example solution to the Triangle exercise:
+
+```csharp
+public static class Triangle
+{
+    private enum TriangleType
+    {
+        NotATriangle = 0,
+        Scalene = 1,
+        Isosceles = 2,
+        Equalateral = 4
+    }
+
+    public static bool IsScalene(double side1, double side2, double side3)
+        => GetTriangleType(side1, side2, side3).HasFlag(TriangleType.Scalene);
+
+    public static bool IsIsosceles(double side1, double side2, double side3)
+        => GetTriangleType(side1, side2, side3).HasFlag(TriangleType.Isosceles);
+
+    public static bool IsEquilateral(double side1, double side2, double side3) 
+        => GetTriangleType(side1, side2, side3).HasFlag(TriangleType.Equalateral);
+
+    private static TriangleType GetTriangleType(double side1, double side2, double side3)
+        => (side1, side2, side3) switch
+        {
+            _ when side1 >= side2 + side3 || side2 >= side1 + side3 || side3 >= side1 + side2 
+                => TriangleType.NotATriangle,
+            _ when side1 != side2 && side2 != side3 && side1 != side3 
+                => TriangleType.Scalene,
+            _ when side1 != side2 || side2 != side3 
+                => TriangleType.Isosceles,
+            _ => TriangleType.Equalateral | TriangleType.Isosceles,
+        };
+}
 ```
-As in the example above, all of them can be one-line methods set with lambda expression,
-here is a helpful part of the documentation for [lambda expression](https://learn.microsoft.com/en-us/dotnet/csharp/language-reference/operators/lambda-operator#expression-body-definition)
 
-You may also make a remark that lambda expression aren't only related to C#, they are also used in different languages like [javascript/typescript](https://www.tutorialspoint.com/how-to-use-lambda-expression-in-typescript#:~:text=Lambda%20expressions%2C%20commonly%20referred%20to,defining%20functions%20in%20both%20languages.)
+### Explanation
+1. **Enum Usage**:
+   - `TriangleType` represents different triangle types and includes a bitwise combination for `Equalateral | Isosceles`.
+   - Enums improve readability by replacing magic numbers or strings with named constants.
+
+2. **Switch Expressions**:
+   - Switch expressions simplify conditional logic.
+   - Pattern matching ensures the logic is concise and expressive.
+
+3. **Validation**:
+   - The `NotATriangle` case validates the triangle inequality rule upfront.
+   - The rest of the logic identifies the triangle type based on its side lengths.
+
+4. **Bitwise Flags**:
+   - The `HasFlag` method is used to check if a triangle type matches a specific flag, allowing for clean and efficient checks.
+
+---
+
+## Key Concepts for Mentoring
+
+1. **Enum Usage**: Highlight the use of enums for defining triangle types and the benefits of combining flags for multiple classifications.
+
+2. **Switch and Pattern Matching**:
+   - Discuss how switch expressions simplify code.
+   - Emphasize the use of pattern matching for clear and maintainable logic.
+
+3. **Validation and Bitwise Operations**:
+   - Ensure students understand the importance of validating inputs.
+   - Explain how bitwise operations are used with enums for efficient flag handling.
+
+---
+
+## Additional Resources
+- [C# Enum Best Practices](https://learn.microsoft.com/en-us/dotnet/standard/design-guidelines/enum)
+- [What does the [Flags] Enum Attribute mean in C#?](https://stackoverflow.com/questions/8447/what-does-the-flags-enum-attribute-mean-in-c)
+- [Bitwise Operations in C#](https://learn.microsoft.com/en-us/dotnet/csharp/language-reference/operators/bitwise-and-shift-operators)
+- [Pattern Matching in C#](https://learn.microsoft.com/en-us/dotnet/csharp/fundamentals/functional/pattern-matching)
+- [Triangle Inequality](https://en.wikipedia.org/wiki/Triangle_inequality)
+
+
+---