1. **State the problem:** We need to find the area of a triangle with a base of 30 inches and a height of 30 inches. 2. **Formula for the area of a triangle:** $$A = \frac{1}{2} \times \text{base} \times \text{height}$$ 3. **Substitute the given values:** $$A = \frac{1}{2} \times 30 \times 30$$ 4. **Calculate the product:** $$A = \frac{1}{2} \times 900$$ 5. **Simplify the multiplication:** $$A = \cancel{\frac{1}{2}} \times 900 = 450$$ 6. **Final answer:** The area of the triangle is $450$ square inches.