Question

Отрезок АС с точкой по середине Д и отрезок СВ с точкой по середине Е.Расстояние между точками Д и Е 8 см.Какова длина отрезка АВ.

Answer 1

В Δ АВС  ДЕ является средней линией,поэтому
АВ=2·ДЕ=2·8=16(см)

Answer 2

Calculating the Length of Segment AB

To calculate the length of segment AB, we can use the fact that the midpoint of segment AB is the same as the midpoint of segment CD. Given that the distance between points D and E is 8 cm, we can find the length of segment AB.

The formula for finding the distance between two points in a coordinate plane is:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, we can use the midpoint formula to find the coordinates of the midpoints of segments AB and CD, and then use these coordinates to calculate the length of segment AB.

Midpoint of Segment CD

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

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Using this formula, we can find the midpoint of segment CD.

Midpoint of Segment AB

Since the midpoint of segment AB is the same as the midpoint of segment CD, we can use the coordinates of the midpoint of segment CD to find the length of segment AB.

Calculating the Length of Segment AB

We can use the coordinates of the midpoints of segments AB and CD to calculate the length of segment AB using the distance formula mentioned earlier.

Let's proceed with the calculations.