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measured length construction with straightedge

Source: Sharygin 2023 - P8 (Grade-8-9)

March 4, 2023

geometryconstructionlengthSharygin Geometry OlympiadSharygin 2023

Problem Statement

A triangle

ABC

(a>b>c)

is given. Its incenter

I

and the touching points

K, N

of the incircle with

BC

and

AC

respectively are marked. Construct a segment with length

a-c

using only a ruler and drawing at most three lines.