midpoint wanted, 2 squares (2016 Novosibirsk Oral Geo Oly 8-9 p4)
Source:
April 26, 2021
geometrySquaresmidpoint
Problem Statement
The two angles of the squares are adjacent, and the extension of the diagonals of one square intersect the diagonal of another square at point (see figure). Prove that is the midpoint of .
https://cdn.artofproblemsolving.com/attachments/7/8/8daaaa55c38e15c4a8ac7492c38707f05475cc.png