Question

Как найти длину ломаной?

Answer 1

Это так просто,нужно измерить длину каждой части ломаной линии и сложить.И все! Длина ломаной линии ровна сумме длин ее частей. Удачи

Answer 2

Finding the Length of a Polygon

To find the length of a polygon, you can use the distance formula to calculate the distance between each pair of consecutive points and then sum these distances.

The distance formula is given by:

Distance Formula: The distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by: \[d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\]

You can apply this formula to each pair of consecutive points in the polygon and then sum the distances to find the total length of the polygon.

Example Calculation

Let's consider a polygon with the following vertices: (1, 2), (4, 6), (7, 3), and (10, 8).

Using the distance formula, we can calculate the distance between each pair of consecutive points: - Distance between (1, 2) and (4, 6): \[d_1 = \sqrt{(4 - 1)^2 + (6 - 2)^2} = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5\] - Distance between (4, 6) and (7, 3): \[d_2 = \sqrt{(7 - 4)^2 + (3 - 6)^2} = \sqrt{3^2 + (-3)^2} = \sqrt{9 + 9} = \sqrt{18}\] - Distance between (7, 3) and (10, 8): \[d_3 = \sqrt{(10 - 7)^2 + (8 - 3)^2} = \sqrt{3^2 + 5^2} = \sqrt{9 + 25} = \sqrt{34}\]

Finally, we sum these distances to find the total length of the polygon: \[Total\ length = d_1 + d_2 + d_3 = 5 + \sqrt{18} + \sqrt{34}\]

This gives us the length of the polygon.

Conclusion

To find the length of a polygon, apply the distance formula to each pair of consecutive points and then sum the distances. This will give you the total length of the polygon.