Latest Maths Olympiad Aptitude Question SOLUTION: A convex polygon is such that the distance between any two vertices of does not exceed 1. (i) Prove that the distance between any two points on the boundary of does not exceed 1. (

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(#M40021988) MATHS OLYMPIAD question GEOMETRY Keep an EYE

A convex polygon is such that the distance between any two vertices of does not exceed 1.
(i) Prove that the distance between any two points on the boundary of does not exceed 1.
(ii) If X and Y are two distinct points inside, prove that there exists a point Z on the boundary of such that XZ + Y Z  1.

Asked In Maths Olympiad MAN (10 years ago)

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