[ inscribed quadrilaterals]

Three consecutive sides of an inscribed quadrilateral are in the ratio 1:2:3. Find its sides if it is known that the perimeter is 24 m.

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Since the sums of the opposite sides of a circumscribed quadrilateral are equal to each other, two parts fall on the fourth side. Therefore, the sides are $\frac{1}{8}, \frac{1}{4}, \frac{3}{8}$ and $\frac{1}{4}$ of the perimeter, i.e., 3, 6, 9, 6.

## Answer

3 cm, 6 cm, 9 cm, 6 cm.