Find the area of a triangle with base = 18 cm and height = 12 cm.

Options

A. 128 sq. cm
B. 110 sq. cm
C. 108 sq. cm
D. 109 sq. cm

Answer

To find the area of a triangle with a given base and height, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Formula**: The formula to calculate the area of a triangle is:
\[ \text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height} \]

2. **Substitute the Values**: In this problem, the base (B) is 18 cm and the height (H) is 12 cm. Substitute these values into the formula:
\[ \text{Area} = \frac{1}{2} \times 18 \, \text{cm} \times 12 \, \text{cm} \]

3. **Calculate the Product**: First, calculate the product of the base and height:
\[ 18 \, \text{cm} \times 12 \, \text{cm} = 216 \, \text{cm}^2 \]

4. **Multiply by Half**: Now, multiply the result by \(\frac{1}{2}\):
\[ \text{Area} = \frac{1}{2} \times 216 \, \text{cm}^2 = 108 \, \text{cm}^2 \]

5. **Final Result**: Therefore, the area of the triangle is:
\[ \text{Area} = 108 \, \text{cm}^2 \]