Question

Point C ∈ AB , AB = 30m. Point C is 1.5 times farther from point A than from point B. Find AC and CB.

Answer 1

its the point B or C

Answer 2

AC = 18 m

CB = 12 m

Explanation:

Point C lies on line AB.

It is given, length of AB = 30 m and point C divides the line AB in such a way that point C is 1.5 times farther from point B.

Let Length of CB = x

Then length of AC = 1.5x

Now we know m(AB) = m(AC) + m(CB)

30 = 1.5x + x

30 = 2.5x

x =
`(30)/(2.5)`

x = 12 m

Therefore, AC = 1.5x = 12×1.5

= 18 m

CB = 12 m