The length of the segment ad is 28 cm. the distance between the midpoints of segments ab and cd is 16 cm. find the length of the segment bc .

BC=4 cm

Step-by-step explanation:

Please refer to the image attached to this. AD is a line segment which 28 cm long. E and F are the mid point of AB and CD which are separated by a distance of 16 cm

If we say that AE=EB=x and CF=FD=y

it clear from the figure that

2x+BC+2y=28

2(x+y)+BC=28

EF=16

Hence

x+16+y=28

x+y=12

There for

2(x+y)+BC=28

2*12+BC=28

24+BC=28

BC=4cm

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