Maths Olympiad Prep

Track / Stage 4 / 77 of 340 #337 of 1964

Problem 337

AMC 12 late, AIME early
Geometry Difficulty 4.6 Find the answer

21. A nonagon with integer side lengths is circumscribed around a circle, with the first and third sides equal to 1. Into what segments does the point of tangency divide the second side?

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

70.21. Answer. The lengths of both segments are 1/21 / 2.

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