Segment length AB = 16. Point M is the midpoint of segment AB, point K lies

univerkov | July 5, 2021 | education

Segment length AB = 16. Point M is the midpoint of segment AB, point K lies on segment MB so that MK: KB = 3: 5. Find the length of the line AK.

Since point M is the middle of the segment AB, the length of which is 16 cm, then AM = MB = AB / 2 = 16/2 = 8 cm.

According to the condition MK / KB = 3/5.

MK = KB * 3/5.

MV = MK + KB = KB * 3/5 + KB = 8.

KB * 8/5 = 8.

KB = 5 cm.

Segment AK = AM + MK = 8 + 3 = 11 cm.

Answer: AK = 11 cm.

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