A triangle formed by the sides of length 4 . 5 cm, 6 cm and 4 . 5 cm is

Options

A. scalene
B. isosceles
C. equilateral
D. none of these

Answer

To determine the type of triangle formed by the sides of lengths 4.5 cm, 6 cm, and 4.5 cm, we can follow these steps:

### Step 1: Identify the lengths of the sides
The lengths of the sides of the triangle are given as:
- Side 1 = 4.5 cm
- Side 2 = 6 cm
- Side 3 = 4.5 cm

### Step 2: Compare the lengths of the sides
Now, we will compare the lengths of the sides to classify the triangle:
- We see that two sides are equal: 4.5 cm and 4.5 cm.
- The third side is different: 6 cm.

### Step 3: Classify the triangle based on the sides
Based on the comparison:
- An **equilateral triangle** has all three sides equal.
- A **scalene triangle** has all sides of different lengths.
- An **isosceles triangle** has exactly two sides equal.

Since we have two sides (4.5 cm and 4.5 cm) that are equal and one side (6 cm) that is different, we can classify this triangle as an **isosceles triangle**.

### Conclusion
The triangle formed by the sides of length 4.5 cm, 6 cm, and 4.5 cm is an **isosceles triangle**.

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