Points P and K are marked on the segment AB. The lengths of the segments AB = 7cm 8mm

Points P and K are marked on the segment AB. The lengths of the segments AB = 7cm 8mm, PK = 2cm 5mm, BK = 1cm 9mm. Find the length of the segment AP.

Since it is said that the length of the segment AB = 7 cm 8 mm (for convenience, we will translate centimeters into millimeters) 7 cm 8 mm = 78 mm.

2 cm 5 mm = 25 mm.

1 cm 9 mm = 19 mm.

If we add the lengths of the segments PK and KB, we get the length of the segment PB: 25 mm + 19 mm = 44 mm.

In order to find out the length of the segment AP, you need to subtract the length PB from AB (we have already found it):

78 mm – 44 mm = 34 mm = 3 cm 4 mm – length AP.

Answer: The length of the AP segment is 34 mm or 3 cm 4 mm.