Respuesta :

aachen

Answer:

6 cm

Step-by-step explanation:

Given: D is the midpoint of the segment AC and C is the midpoint of segment AB.

To Find: length of the segment BC , if AD = 3 cm.

Solution:

In line Segment AC,

D is the midpoint of Segment AC

therefore,

[tex]\text{AC}=2\text{AD}[/tex]

In line segment AB,

C is the midpoint of AB,

Therefore,

[tex]\text{BC}=\text{AC}[/tex]

putting the value of AD,

[tex]\text{AC}=2\times\text{AD}[/tex]

[tex]\text{AC}=2\times3[/tex]

[tex]\text{AC}=6[/tex] [tex]\text{cm}[/tex]

as,

[tex]\text{BC}=\text{AC}[/tex]

Length of segment BC is [tex]6[/tex] [tex]\text{cm}[/tex]

onyebuchinnaji

The length of segment BC is 6 cm.

The given parameters;

  • midpoint of line segment AC = D
  • midpoint of line AB = C
  • length of AD = 3 cm

To find:

  • the length of segment BC

A sketch of the given problem is presented below;

A-----------------D--------------------C---------------------------------B

From this sketch above the length of segment BC is calculated as follows;

length AC =  length BC

AD is half of AC = 3cm

AC = 2 x 3cm = 6cm

Since AC = BC, BC = 6 cm

Thus, the length of segment BC is 6 cm.

Learn more here: https://brainly.com/question/18000365

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