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Dafna1 [17]
3 years ago
15

HELP QUICKKKKK:Point B lies on the segment AC whose length AC = a cm. Find the distance between the midpoints of segments AB and

BC .
Mathematics
1 answer:
Andru [333]3 years ago
3 0

Answer with Step-by-step explanation:

We are given that point B lies on the segment AC.

Length of AC= a cm

We have to find the the distance between the midpoint of segment AB and BC.

When B lies on the segment AC.

Let mid point of segment AB and BC are E and F.

E is the midpoint of segment AB.

Therefore, AE=EB

BF=FC

AC=AE+EB+BF+FC=EB+EB+BF+BF

a=2EB+2BF

2(EB+BF)=a

EB+BF=\frac{a}{2}

Distance between E and F is given by

EF=EB+BF

EF=\frac{a}{2} cm

Hence, the distance between the midpoints of segment AB and BC is given by

EF=\frac{a}{2} cm

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