olymmath

RU-ALLRUSSIAN 1968 Problem 13

    The medians divide a triangle into 6 smaller triangles. 4 of the circles inscribed in the smaller triangles have equal radii. Prove that the original triangle is equilateral.

    Dataset text NuminaMath olympiads. Quoted with source.

    Solutions

    No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

    Add a solution

    Locator ru-allrussian/1968/p13 · Tag A0Y57Z491A · Edit this page on GitHub · Keys: j next, k previous