To calculate the area of the triangle in the image, we can use the coordinate grid as a reference.

1. Identify the base and height:

   • The base of the triangle is the horizontal line, and the height is the perpendicular distance from the base to the opposite vertex.
   • From the image, the base appears to be 3 units long, and the height is 4 units.

2. Formula for the area of a triangle: The area $A$ of a triangle is given by the formula: $A = \frac{1}{2} \times \text{base} \times \text{height}$

3. Substitute the values: $A = \frac{1}{2} \times 3 \times 4 = \frac{1}{2} \times 12 = 6 \text{ square units}$

Thus, the area of the triangle is 6 square units.

Would you like a more detailed explanation or have any other questions?

Here are some related questions:

1. How do we generalize the area formula for non-right triangles?
2. Can the area formula for triangles be applied to irregular shapes?
3. What other methods can be used to find the area of a triangle given different parameters?
4. How does the grid spacing affect area calculations in geometry?
5. Can we calculate the perimeter of the triangle from the given information?

Tip: When dealing with geometric figures on a grid, always count grid spaces carefully for accurate measurements.