1. **State the problem:** We need to find the area of a right triangle with a base of 4 inches and a height of 3 inches. 2. **Formula:** The area $A$ of a triangle is given by the formula: $$A = \frac{1}{2} \times \text{base} \times \text{height}$$ 3. **Apply the values:** Substitute base = 4 inches and height = 3 inches into the formula: $$A = \frac{1}{2} \times 4 \times 3$$ 4. **Simplify:** $$A = \frac{1}{2} \times 12$$ 5. **Calculate:** $$A = 6$$ 6. **Conclusion:** The area of the triangle is 6 square inches.