10.381 The height of the triangle, equal to 2 cm, divides the angle of the triangle in the ratio $2: 1$, and the base of the triangle - into parts, the smaller of which is equal to 1 cm. Determine the area of the triangle.
## Solution.

![](https://cdn.mathpix.com/cropped/2024_05_21_f024bf2ff7725246f3bfg-234.jpg?height=421&width=1083&top_left_y=939&top_left_x=113)

![](https://cdn.mathpix.com/cropped/2024_05_21_f024bf2ff7725246f3bfg-234.jpg?height=289&width=298&top_left_y=968&top_left_x=134)

Answer: $\frac{11}{3} \mathrm{~cm}^{2}$.