The triangle in the image is a right triangle with a base ($b$) of 6 inches and a height ($h$) of 8 inches. The formula to calculate the area of a triangle is:

$A = \frac{1}{2} b h$

Substituting the given values:

$A = \frac{1}{2} \times 6 \, \text{in} \times 8 \, \text{in}$

$A = \frac{1}{2} \times 48 \, \text{in}^2$

$A = 24 \, \text{in}^2$

Final Answer:

The area of the triangle is 24 square inches.

Would you like further details or have any questions?
Here are 5 related questions to explore further:

1. How do you determine the base and height of a triangle?
2. What are the properties of a right triangle?
3. How would the area change if the base and height were doubled?
4. What are other ways to find the area of a triangle besides $A = \frac{1}{2} b h$?
5. Can you verify the dimensions using the Pythagorean theorem?

Tip: For any triangle, the base and height must always be perpendicular to each other!