The base of a triangle is 36 cm and its corresponding height is 13 cm . Find the area of the triangle .

Options

A. `=534 cm^(2)`.
B. `=224 cm^(2)`.
C. `=334 cm^(2)`.
D. `=234 cm^(2)`.

Answer

To find the area of the triangle, we will use the formula for the area of a triangle, which is:

**Area = (1/2) × base × height**

### Step-by-step Solution:

1. **Identify the given values:**
- Base (b) = 36 cm
- Height (h) = 13 cm

2. **Substitute the values into the area formula:**
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
\[ \text{Area} = \frac{1}{2} \times 36 \times 13 \]

3. **Calculate half of the base:**
\[ \frac{1}{2} \times 36 = 18 \]

4. **Multiply the result by the height:**
\[ \text{Area} = 18 \times 13 \]

5. **Perform the multiplication:**
\[ 18 \times 13 = 234 \]

6. **Final result:**
\[ \text{Area} = 234 \text{ cm}^2 \]

### Final Answer:
The area of the triangle is **234 cm²**.