Points M and K divide the segment AB into three parts: AM, MK and KB. Find the length of the AB segment

| March 9, 2021 | education

Points M and K divide the segment AB into three parts: AM, MK and KB. Find the length of the AB segment, if AM = 3cm5mm, the MK segment is 13mm longer than the AM segment, and the AK segment is 8mm shorter than the KB segment.

1) find out how long the MK segment has, if it is 13 mm longer than the AM segment, and the AM segment is 3 cm 5 mm long.

MK = 3 cm 5 mm + 13 mm = 4 cm 8 mm.

2) Find out what is the length of the segment AK, if it consists of two segments AM and MK, the lengths of which are respectively 3 cm 5 mm and 4 cm 8 mm.

AK = 3 cm 5 mm + 4 cm 8 mm = 8 cm 3 mm.

3) Find out what is the length of the KB segment, if it is shorter than AK by 8 mm longer than AK.

8 cm 3 mm + 8 mm = 9 cm 1 mm.

4) Find the length of the segment AB.

8 cm 3 mm + 9 cm 1 mm = 17 cm 4 mm.

Answer: the length of the segment AB was 17 cm 4 mm.



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