Points K and D are marked on the segment MC, and K lies between C and D. MC = 38

Points K and D are marked on the segment MC, and K lies between C and D. MC = 38, KC = 12 cm, MK is 6 cm longer than MD. Find DC.

It is known that MС = 38 cm, KС = 12 cm, Point K lies between C and D, which means that point K is closer to point C, respectively, point D is closer to point M.

Let the length of the segment MD be x cm, then the length of the segment MK = (x + 6) cm.Write the equation:

MD + DK + KC = MС;

MK + KС = MС;

x + 6 + 12 = 38;

x + 18 = 38;

x = 38 – 18;

x = 20 (cm) – the length of the segment MD.

In order to find the length of the segment DC, it is necessary to subtract MD from the MС:

DC = MС – MD;

DC = 38 – 20;

DC = 18 (cm)

Answer: 18 cm length of the DS segment.