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Posted On:
November 4, 2020
at 3:36 pm

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Destiny Madaje

NRICH: Point in Between

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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
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NRICH (University of Cambridge)

NRICH provides thousands of free online mathematics resources for ages 3 to 18, covering all stages of early years, primary and secondary school education – completely free and available to all.

https://nrich.maths.org/
NRICH: Topics in Secondary Mathematics
NRICH (University of Cambridge)

Do you enjoy thought-provoking questions? If so, this is the place for you.

https://nrich.maths.org/9196

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K-12 Categories

Advanced Search

Submit a Resource

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

Assigned Categories

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