NRICH: Point in Between

Find the point on the line segment AB that is twice as far from B as it is from A.

A has coordinates (0,10), and B has coordinates (6,2).
P is on the line segment AB.
The distance from P to A is half the distance from P to B.

Find the coordinates of P.

This problem is taken from 1000 Problems to Enjoy

You can find more short problems, arranged by curriculum topic, in our short problems collection.

Age 11 to 14

Math Topics
Algebra & Pre-Algebra, Coordinates, Functions & Graphs
Middle School, High School, Educator
6th Grade, 7th Grade, 8th Grade, 9th Grade

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