Point M divides segment AB into two segments AM and MB so that segment AM is 3.6 cm

| August 3, 2021 | education

Point M divides segment AB into two segments AM and MB so that segment AM is 3.6 cm shorter than segment MB.Find the length of segment AM if AB = 14.4 cm.

Let the length of the segment MB be equal to x cm, then the length of the segment AM will be equal to (x – 3.6) cm. It is also known that the segment AB consists of the segments AM and MB. It is also known that the length of the segment AB is 14.4 cm.Let’s make the equation:

x + x – 3.6 = 14.4;

2x = 14.4 + 3.6;

2x = 18;

x = 18: 2;

x = 9 (cm) – length of the MВ segment;

Let us find the length of the segment AM, according to the condition of the problem, it is specified that the length of the segment AM is 3.6 cm less than the length of the segment MB:

9 – 3.6 = 5.4 (cm) – the length of the segment AM.

Answer: 5.4 centimeters length of the segment AM.



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