Question

If point Pis 3/8 of the distance from A to B, then point P partitions the line segment from A to B into aratio.

Answer 1

We can start by drawing the segment:

We know that AP is 3/8 of the distance AB.

We then know that:

`PB=AB-AP=AB-(3)/(8)AB=(1-(3)/(8))AB=(5)/(8)AB`

Then, the ratio between the two segments become:

`(AP)/(PB)=((3)/(8)AB)/((5)/(8)AB)=(3)/(8)\cdot(8)/(5)=(3)/(5)`

The ratio AP/PB is 3/5.

(If we express this as PB/AP the ratio would be 5/3).