The side of a triangle is divided into five equal parts; lines are drawn through the division points, parallel to the base.

Find the segments of these lines enclosed between the sides of the triangle, if the base is 20.
Each of the four specified lines cuts off a triangle similar to the given triangle.

The similarity coefficients are: ${ }^{1} / 5, { }^{2} / 5, 3 / 5$ and $4 / 5$. Therefore, the corresponding segments are equal to: $1 / 5 \cdot 20=4, 2 / 5 \cdot 20=$ $8, 3 / 5 \cdot 20=12, 4 / 5 \cdot 20=16$.

![](https://cdn.mathpix.com/cropped/2024_05_06_837b6360ec703a44a031g-27.jpg?height=409&width=640&top_left_y=1&top_left_x=709)

## Answer

$4,8,12,16$.