To find the area of a triangle, we use the formula:

$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$

In this case:

• The base ($b$) is $19$ yards.
• The height ($h$) is $14$ yards.

Plugging these values into the formula:

$\text{Area} = \frac{1}{2} \times 19 \times 14$

Calculating step-by-step:

1. Multiply the base and height: $19 \times 14 = 266$.
2. Divide by 2: $\frac{266}{2} = 133$.

So, the area of the triangle is:

$133 \, \text{yd}^2$

Would you like further details or have any other questions?

Related Questions:

1. How would the area change if the base was doubled?
2. What if the height was halved while keeping the base the same?
3. How does this formula for the area of a triangle compare to finding the area of other polygons?
4. Can we use this formula for a right triangle specifically?
5. How would you calculate the perimeter if the lengths of the other two sides were given?

Tip:

Always remember that for any triangle, the area is calculated using half the product of its base and height, irrespective of the type of triangle (right, isosceles, etc.).