1. **State the problem:** We need to find the area of a right triangle with legs measuring 6 cm and 7 cm. 2. **Formula:** The area $A$ of a triangle is given by $$A = \frac{1}{2} \times \text{base} \times \text{height}$$ For a right triangle, the legs are the base and height. 3. **Apply the formula:** Here, base $= 7$ cm and height $= 6$ cm. $$A = \frac{1}{2} \times 7 \times 6$$ 4. **Calculate:** $$A = \frac{1}{2} \times 42 = 21$$ 5. **Interpretation:** The area of the triangle is 21 square centimeters. This uses the fact that the right angle is between the legs of 6 cm and 7 cm, so these are the base and height.