The base and height of a triangle are 12 m and 8 m respectively. Its area is

Options

A. `96m^(2)`
B. `48m^(2)`
C. `16sqrt3m^(2)`
D. `16sqrt2m^(2)`

Answer

To find the area of a triangle when the base and height are given, we can use the formula for the area of a triangle:

**Area = (1/2) × Base × Height**

### Step-by-Step Solution:

1. **Identify the Base and Height:**
- Base (b) = 12 m
- Height (h) = 8 m

2. **Substitute the Values into the Area Formula:**
- Area = (1/2) × Base × Height
- Area = (1/2) × 12 m × 8 m

3. **Calculate the Area:**
- First, multiply the base and height:
- 12 m × 8 m = 96 m²
- Now, multiply by (1/2):
- Area = (1/2) × 96 m² = 48 m²

4. **Conclusion:**
- The area of the triangle is 48 m².

### Final Answer:
The area of the triangle is **48 m²**.