The triangle in the image is a right triangle, with the base and height labeled as $3 \, \text{ft}$ and $4 \, \text{ft}$, respectively. The formula for the area of a triangle is:

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

Substituting the given values:

$\text{Area} = \frac{1}{2} \times 3 \times 4 = \frac{1}{2} \times 12 = 6 \, \text{ft}^2$

Final Answer:

The area of the triangle is 6 square feet.

Do you want further explanations or details? Here are 5 related questions for exploration:

1. How do you find the hypotenuse of this triangle using the Pythagorean theorem?
2. Can this method be applied to any type of triangle?
3. What if one side length were missing—how would you calculate it?
4. How does the area formula differ for non-right triangles?
5. Could you determine the perimeter of this triangle as well?

Tip: For right triangles, always verify the right angle before applying this formula for the area.