To find the area of a triangle, you can use the formula:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
Given a base of 13 yards and a height of 5 yards, you can substitute these values into the formula:
\[ \text{Area} = \frac{1}{2} \times 13 \times 5 \]
Calculating this:
\[ \text{Area} = \frac{1}{2} \times 65 = 32.5 \text{ square yards} \]
So the area of the triangle is 32.5 square yards.