As shown in the figure, line AB = 16cm, C is the point on AB, BC = 10cm, D is the midpoint of line AC, find the length of DB

As shown in the figure, line AB = 16cm, C is the point on AB, BC = 10cm, D is the midpoint of line AC, find the length of DB


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Point D is a point on line AB, C is the midpoint of AD, e is the midpoint of BD, ab = 10cm is known, the length of line CE is calculated


CD = 1 / 2ad, de = 1 / 2bd, so CE = CD + de = 1 / 2 (AD + BD) = 1 / 2Ab = 5cm



Point C is the point on the line AB, point m is the midpoint of the line AC, point n is the midpoint of the line BC, AB + 10cm, calculate the length of Mn;
If point C is on the extension line of line AB, and other conditions remain unchanged, then calculate the length of Mn


1. ∵ m is the midpoint of AC
∴CM=1/2AM
Similarly, CN = 1 / 2BC
∴MN=CM+CN=1/2AB
∵AB=10 cm
∴MN=5 cm
2. ∵ m is the midpoint of AC
∴CM=1/2AM
Similarly, CN = 1 / 2BC
∴MN=CM-CN
=1/2AC-1/2BC
=1/2(AC-BC)
=1/2AB
∵AB=10 cm
∴MN= 5cm



If there is a point C on the line AB with a length of 16 cm, then the line segment AC.BC What is the distance between the middle points of?


If there is a point C on the line AB with a length of 16 cm, then the line segment AC.BC The distance between the middle points of is 8 cm
Let AC = x cm, then BC = 16-x cm;
Then the midpoint distance = (x / 2) + (16-x) / 2 = x / 2 + 8-x / 2 = 8 cm
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Given that the line segment AC = 16cm, the point B is on the line segment AC, and m and N are the midpoint of the line segments AB and BC respectively, the length of the line segment Mn is calculated


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