Question

Find the value of x if a, b, and c are collinear points and b is between a and c. ab=x,bc=x 2,ac=14

Answer 1

The value of x is 7 for the given collinear points a, b, and c as b is the mid-point of ac.

According to the given question.

a, b, and c are collinear points. Which means all points a, b, and c lie in a same plane.

b is lies between a and c.

Also,

ab = x, bc = x and ac = 24.

Since, b lies in between a and c, and it is given that ab = x and bc = x.

Which means b is the mid point of ac.

Therefore,

ab + bc = ac

Substitute the values of ab, bc and ac in the above equation.

⇒ x + x = 14

⇒ 2x = 14

⇒ c = 14/2

⇒ c = 7

Therefore, the value of x is 7.

Find out more information about mid-point and collinear points here:

brainly.com/question/1593959

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