10.369 In a triangle with a perimeter of 20 cm, a circle is inscribed. The segment of the tangent, drawn parallel to the base and enclosed between the sides of the triangle, measures 2.4 cm. Find the base of the triangle.
## Solution.

![](https://cdn.mathpix.com/cropped/2024_05_21_f024bf2ff7725246f3bfg-229.jpg?height=506&width=1094&top_left_y=116&top_left_x=172)

Answer: 4 cm or 6 cm.