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# How do you find the endpoint of a line segment when one endpoint is given and a point one third of the way is given?

Updated: 12/16/2022

Wiki User

13y ago

There are two possible answers given the information. What isn't given is if the second point is one third of the way from the known or unknown endpoint.

Say the known endpoint is (xe,ye) and the point one third of the way along is (xt,yt).

If the point one third of the way is closest to the known endpoint, the other endpoint would be (xe+3*(xt-xe), ye+3*(yt-ye)). This is probably the answer implied by your question.

If the point is closest to the unknown endpoint the the unknown endpoint is (xe+(3/2)*(xt-xe), ye+(3/2)*(yt-ye)).

Wiki User

13y ago

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Q: How do you find the endpoint of a line segment when one endpoint is given and a point one third of the way is given?
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