MathDB
equal areas by two squares inside another square

Source: 2016 Oral Moscow Geometry Olympiad grades 10-11 p3

July 29, 2019
geometrySquaressquareareasequal area

Problem Statement

Two squares are arranged as shown in the picture. Prove that the areas of shaded quadrilaterals are equal. https://3.bp.blogspot.com/-W50DOuizFvY/XT6wh3-L6sI/AAAAAAAAKaw/pIW2RKmttrwPAbrKK3bpahJz7hfIZwM8QCK4BGAYYCw/s400/Oral%2BSharygin%2B2016%2B10.11%2Bp3.png