NRICH: Point in Between
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
NRICH (University of Cambridge)
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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NRICH (University of Cambridge)
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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
NRICH (University of Cambridge)
Math Topics
Algebra & Pre-Algebra, Coordinates, Functions & Graphs
Middle School, High School, Educator
6th Grade, 7th Grade, 8th Grade, 9th Grade
What are you looking for?
Organization
NRICH (University of Cambridge)
Website URL
Type of Resource
Challenge