Question

точка М принадлежит отрезку АВ,Найдите расстояние между серединами отрезков АМ м МВ если АВ=6 см

Answer 1

Расстояние мекжду серединами будет равно 3

Answer 2

Task: Finding the Distance Between the Midpoints of Segments AM and MB

To find the distance between the midpoints of segments AM and MB, given that AB = 6 cm, we can use the midpoint formula and the distance formula.

Midpoint Formula:

The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by the coordinates: ((x1 + x2)/2, (y1 + y2)/2)

Distance Formula:

The distance between two points (x1, y1) and (x2, y2) is given by: √((x2 - x1)^2 + (y2 - y1)^2)

Solution:

Given AB = 6 cm, we can find the midpoint of AB and then use it to find the midpoints of AM and MB.

The midpoint of AB is M, and the coordinates of M can be found using the midpoint formula. Then, we can use the distance formula to find the distance between the midpoints of AM and MB.

Let's proceed with the calculations.

Midpoint of AB (M):

Using the midpoint formula, the coordinates of M are: ((x1 + x2)/2, (y1 + y2)/2)

Distance Between Midpoints of AM and MB:

Using the distance formula, the distance between the midpoints of AM and MB is: √((x2 - x1)^2 + (y2 - y1)^2)

Let's calculate the coordinates of M and the distance between the midpoints of AM and MB using the given information.

Calculation:

The length of AB is 6 cm, and the coordinates of A and B are not provided. Therefore, without the specific coordinates of A and B, it's not possible to calculate the exact distance between the midpoints of AM and MB. If you have the specific coordinates of A and B, please provide them, and I can help you calculate the distance between the midpoints of AM and MB.