Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 cm.

Options

A. 14 cm
B. 18 cm
C. 20 cm
D. 15 cm

Answer

To find the perimeter of a triangle with sides measuring 6 cm, 4 cm, and 5 cm, follow these steps:

### Step 1: Identify the lengths of the sides
The sides of the triangle are given as:
- Side 1 = 6 cm
- Side 2 = 4 cm
- Side 3 = 5 cm

### Step 2: Use the perimeter formula
The perimeter \( P \) of a triangle is calculated by adding the lengths of all its sides. The formula is:
\[ P = \text{Side 1} + \text{Side 2} + \text{Side 3} \]

### Step 3: Substitute the values into the formula
Substituting the values of the sides into the formula:
\[ P = 6 \, \text{cm} + 4 \, \text{cm} + 5 \, \text{cm} \]

### Step 4: Perform the addition
Now, calculate the sum:
1. First, add Side 1 and Side 2:
\[ 6 \, \text{cm} + 4 \, \text{cm} = 10 \, \text{cm} \]
2. Next, add the result to Side 3:
\[ 10 \, \text{cm} + 5 \, \text{cm} = 15 \, \text{cm} \]

### Step 5: State the final result
The perimeter of the triangle is:
\[ P = 15 \, \text{cm} \]