Olympiad Maths Prep

Track / Stage 5 / 72 of 400 #672 of 2000

Problem 672

AIME late
Geometry Difficulty 5.2 Prove it

223. How to prove the statement: "Not every triangle is acute"?

This one wants a proof. Work it on paper, read the official solution, then mark yourself honestly — the ladder only means something if the record is true.

Official solution

223. By giving an example.

The translation is provided as requested, maintaining the original text's line breaks and format.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.