3. Someone selects five arbitrary points in the interior of an equilateral triangle of side 1 cm. Showthat there are at least two of them at a distance of no more than 1/2 cm. (Hint: Divide the trianglein a suitable way and use the pigeonhole principle.)

Answered: 3. Someone selects five arbitrary…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.1: Rectangular Coordinate Systems

Problem 33E

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3. Someone selects five arbitrary points in the interior of an equilateral triangle of side 1 cm. Show that there are at least two of them at a distance of no more than 1/2 cm. (Hint: Divide the triangle in a suitable way and use the pigeonhole principle.)