To find the area of a right triangle, you can use the formula:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
In this case, the base is 10 centimeters and the height is 7.4 centimeters. Plugging in these values:
\[ \text{Area} = \frac{1}{2} \times 10 , \text{cm} \times 7.4 , \text{cm} \] \[ \text{Area} = \frac{1}{2} \times 74 , \text{cm}^2 \] \[ \text{Area} = 37 , \text{cm}^2 \]
Therefore, the area of the triangle is 37 square centimeters.