square interior to a square, 5 equal incircles, 4 right triangles
Source: 2018 Portugal p2
October 11, 2020
geometryincircleSquaressquare
Problem Statement
In the figure, is a square of side . The points and are such that and are right-angled triangles. Knowing that the circles inscribed in each of these triangles and the circle inscribed in the square has all the same radius, what is the measure of the radius of the circles?
https://1.bp.blogspot.com/-l37AEXa7_-c/X4KaJwe6HQI/AAAAAAAAMk4/14wvIipf26cRge_GqKSRwH32bp291vX4QCLcBGAsYHQ/s0/2018%2Bportugal%2Bp2.png