Which type of triangle can you make using all 5 matchsticks of equal size ?

Options

A. Scalene triangle
B. Isosceles triangle
C. Equilateral triangle
D. Right angled triangle

Answer

To determine which type of triangle can be made using all 5 matchsticks of equal size, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Matchsticks**: We have 5 matchsticks, and they are all of equal length. This means that each matchstick can be used to form the sides of a triangle.

2. **Triangle Formation**: A triangle is formed by connecting three sides. Since we have 5 matchsticks, we can use any combination of three matchsticks to form a triangle.

3. **Types of Triangles**: There are three types of triangles based on the lengths of their sides:
- Equilateral Triangle: All three sides are equal.
- Isosceles Triangle: Two sides are equal, and one side is different.
- Scalene Triangle: All three sides are of different lengths.

4. **Using Equal Matchsticks**: Since all 5 matchsticks are of equal length, if we take any three matchsticks to form a triangle, all three sides will be equal.

5. **Conclusion**: Therefore, using any three matchsticks out of the five will form an **equilateral triangle** because all sides will be equal.

### Final Answer:
You can make an **equilateral triangle** using all 5 matchsticks of equal size.

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