Using the pigeonhole principle: Given an equilateral triangle with side length of 1 cm, how many distinct points must be within the triangle so that, there are at two points whose distance between each other is less than .5 cm apart?

Using the pigeonhole principle: Given an equilateral triangle with side length of 1 cm, how many distinct points must be within the triangle so that, there are at two points whose distance between each other is less than .5 cm apart?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter7: Locus And Concurrence

Section7.1: Locus Of Points

Problem 47E: In Exercises 39 and 42, refer to the line segments shown. Use the following theorem to construct a...

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Using the pigeonhole principle:

Given an equilateral triangle with side length of 1 cm, how many distinct points must be within the triangle so that, there are at two points whose distance between each other is less than .5 cm apart?

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