To find the area of the right triangle shown in the image, let’s analyze the dimensions.

Steps to Solve:

1. Identify the base and height:

   • From the grid, the base of the triangle spans 6 units horizontally.
   • The height of the triangle spans 4 units vertically.

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

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

4. Simplify: $A = \frac{1}{2} \times 24 = 12 \, \text{square units.}$

Final Answer:

The area of the right triangle is 12 square units.

Would you like a detailed explanation of any step or have further questions?

Related Questions:

1. How does the orientation of the triangle affect its area calculation?
2. What if the triangle was not a right triangle? How would we calculate its area?
3. Can we use the Pythagorean theorem to confirm the hypotenuse length here?
4. What if the base or height measurement was in a different unit, such as centimeters?
5. How do we calculate the area of composite shapes using triangles?

Tip: When working with grids, count the number of units carefully and ensure the base and height are perpendicular.