Points A B C D are marked on the straight line so that AB is 5 cm, Ac is 3 cm

Points A B C D are marked on the straight line so that AB is 5 cm, Ac is 3 cm, BD is 6 cm and point D lies on the segment AC. What is the length of the segment AD.

First, mark point B, setting aside 5 cm from point A. We will depict points schematically in the drawing. Having received point B, then you need to mark point C, but postponing this point from point A to the right, then it will not be possible to fulfill the requirement of the condition BD = 6 cm, and the fact that the current D is located inside the segment AC.

This means that we postpone point C at a distance of AC = 3 cm to the left of point A. And then the segment BD, equal to 6 cm, will give point D at a distance (6 cm – 5 cm) = 1 cm from point A.

! C __! D_! A _____! B

The length of the segment AD = BD – AB = 6 cm – 5 cm = 1 cm.

Answer: AD = 1 cm.



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