MathDB
2023 Individual #5

Source:

April 26, 2023
2023 Individual

Problem Statement

In the regular hexagon shown below, how many diagonals are longer than the red diagonal?
[asy] size(2cm); draw((0,0)--(2,0)--(3,1.732)--(2,3.464)--(0,3.464)--(-1,1.732)--cycle); draw((-1,1.732)--(2,0),red); [/asy] <spanclass=latexbold>(A)</span>0<spanclass=latexbold>(B)</span>1<spanclass=latexbold>(C)</span>2<spanclass=latexbold>(D)</span>3<spanclass=latexbold>(E)</span>4<span class='latex-bold'>(A) </span> 0\qquad<span class='latex-bold'>(B) </span> 1\qquad<span class='latex-bold'>(C) </span> 2\qquad<span class='latex-bold'>(D) </span> 3\qquad<span class='latex-bold'>(E) </span> 4