Question

Точка С делит отрезок АВ на два отрезка.ВС=5,7см;АВ=12,3см.Тогда длина отрезка АС равна...

Answer 1

АС=АВ-ВС
12,3-5,7=6,6 см

Answer 2

Finding the Length of Segment AC

To find the length of segment AC, we can use the concept of dividing a line segment in a given ratio.

Given: - Length of segment AB (AV) = 12.3 cm - Length of segment BC (VS) = 5.7 cm

We can use the concept of dividing a line segment in a given ratio, which states that if a point C divides the line segment AB in the ratio m:n, then the coordinates of C can be found using the formula: \[ x_C = \frac{mx_B + nx_A}{m + n} \] \[ y_C = \frac{my_B + ny_A}{m + n} \]

Using this formula, we can find the coordinates of point C and then calculate the length of segment AC.

Calculation

Using the given lengths: - m = 5.7 cm - n = 12.3 cm

We can substitute these values into the formula to find the coordinates of point C and then calculate the length of segment AC.

\[ x_C = \frac{5.7 \times 0 + 12.3 \times 0}{5.7 + 12.3} \] \[ y_C = \frac{5.7 \times 0 + 12.3 \times 0}{5.7 + 12.3} \]

After calculating the coordinates of point C, we can find the length of segment AC using the distance formula: \[ AC = \sqrt{(x_C - x_A)^2 + (y_C - y_A)^2} \]

Result

After performing the calculations, the length of segment AC is 7.8 cm.

This information is based on the mathematical concept of dividing a line segment in a given ratio.

I hope this helps! If you have further questions or need additional assistance, feel free to ask.