MathDB
triangle with sticks

Source: 2nd National Women´s Contest of Mexican Mathematics Olympiad 2023 , level 1+2 p5

July 22, 2023
MexicoSticks

Problem Statement

Mia has 22 green sticks of <spanclass=latexbold>3cm</span><span class='latex-bold'>3cm</span> each one, 22 blue sticks of <spanclass=latexbold>4cm</span><span class='latex-bold'>4cm</span> each one and 22 red sticks of <spanclass=latexbold>5cm</span><span class='latex-bold'>5cm</span> each one. She wants to make a triangle using the 66 sticks as it´s perimeter, all at once and without overlapping them. How many non-congruent triangles can make?