Question

Let assume "M" is the midpoint of the segment AB. Find AM. AM= x+7 MB=2x A. 7 B. 14 C. 12 D. 9

Answer 1

The length of the line segment AM, which is a part of line segment AB when it is divided into two equal parts by Midpoint M is 14 units.

What is midpoint?

For a line segment, mid-point is the middle point of it which divides the line segment into the two equal parts.

Let assume "M" is the midpoint of the segment AB. The value of has to be found out. It is given that,

$AM= x+7 \\MB=2x$

In this line segment AB, M is midpoint. Thus, it divide the line segment into two equal parts of AM and MB.  Thus,

$x+7=2x\\2x-x=7\\x=7$

Put the value of x in AM,

$AM=x+7\\AM=7+7\\AM=14\rm\; units$

Thus, the length of the line segment AM, which is a part of line segment AB when it is divided into two equal parts by Midpoint M is 14 units.

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