if the point M is at the midpoint of AB, then the length of AM is 21 units
The side lengths are given as:
AM = 3x + 3
AB = 8x - 6
From the question, we understand that:
The point M is at the midpoint of AB
This means that:
AB = 2 * AM
Substitute the known values in the above equation
8x - 6= 2 * (3x + 3)
Evaluate the product
8x - 6 = 6x + 6
Evaluate the like terms
2x = 12
Divide by 2
x = 6
Substitute x = 6 in AM = 3x + 3
AM = 3 * 6 + 3
Evaluate
AM = 21
Hence, the length of AM is 21 units
Read more about midpoints at:
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Complete question
Point m is the midpoint of ab . am=3x+3, and ab=8x−6. what is the length of am ?
