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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.

User Vishrant
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1 Answer

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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).

If point Pis 3/8 of the distance from A to B, then point P partitions the line segment-example-1
User Ozcan
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