On a segment AB 24 cm long, a point is indicated. M so that the length of the segment AM is 2 cm

| April 6, 2021 | education

On a segment AB 24 cm long, a point is indicated. M so that the length of the segment AM is 2 cm longer than the segment MB. Find the segment length AM and MB.

Consequently, the MВ segment is 2 cm less than the AM segment.

We calculate the length of the segment AM, denoting it by x. This means that the length of the MВ segment will be equal to x – 2. The sum of the two segments is 24 cm.

Let’s make an equation and solve it.

x + x – 2 = 24.

Move (-2) to the right, at the same time changing its sign to the opposite.

x + x = 24 + 2.

Add x and numbers:

2 x = 26.

We are looking for an unknown factor, according to the rule:

x = 26/2.

x = 13 cm – the length of the segment AM.

Hence, the MВ segment is equal to:

13 cm – 2 cm = 11 cm.

Verification:

13 cm + 11 cm = 24 cm.

Everything is correct.



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