1. The problem is to find the area of a triangle with base 13 cm and height 11 cm. 2. The formula for the area of a triangle is $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$. 3. Substitute the given values: $$\text{Area} = \frac{1}{2} \times 13 \times 11$$. 4. Calculate the multiplication: $$\text{Area} = \frac{1}{2} \times 143$$. 5. Simplify the fraction: $$\text{Area} = \frac{\cancel{1}}{\cancel{2}} \times 143 = 71.5$$. 6. Therefore, the area of the triangle is 71.5 square centimeters.