Point M divides segment AB into two segments: AM and MB. The segment AM is 5 times longer than MB

| June 15, 2021 | education

Point M divides segment AB into two segments: AM and MB. The segment AM is 5 times longer than MB, and the segment MB is 24 mm shorter than AB. Find the segment length AM, segment length MB and AB.

In accordance with the specification, point M divides segment AB into two different-sized segments: AM and MB, and segment MB is shorter than AB by 24 mm. That is, the difference between the segments AB and MB is just the value of AM, which means that the segment AM is 24 mm.

In turn, the segment AM is 5 times longer than MB, that is, the segment MB is 5 times less than AM:

MB = AM / 5 = 24/5 = 4.8 mm.

You can find the length of the segment AB by summing the lengths of the segments AM and MB:

AM + MB = 24 + 4.8 = 28.8 mm.

Answer: the length of the original segment AB is 28.8 mm.



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