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

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

Here:

• The base of the triangle is 9 ft.
• The height of the triangle is 6 ft.

Substituting these values:

$A = \frac{1}{2} \times 9 \times 6 = \frac{1}{2} \times 54 = 27$

Thus, the area of the triangle is 27 ft².

Would you like further details or explanations? Here are some related questions for you:

1. How do you calculate the area of a triangle with different dimensions?
2. How can you find the area of other shapes like squares or circles?
3. What is the relationship between the base and height in a triangle?
4. How do you calculate the perimeter of a right triangle?
5. How do you apply the Pythagorean theorem to find missing side lengths in a right triangle?

Tip: Always remember that the area of a triangle is half the product of its base and height.