Problem

Source: V.A. Yasinsky Geometry Olympiad 2020 VIII-IX p3 , Ukraine

Tags: geometry, construction, perpendicular



There is a ruler and a "rusty" compass, with which you can construct a circle of radius $R$. The point $K$ is from the line $\ell$ at a distance greater than $R$. How to use this ruler and this compass to draw a line passing through the point $K$ and perpendicular to line $\ell$? (Misha Sidorenko, Katya Sidorenko, Rodion Osokin)