MathDB
ratio of areas extending by equal segment each side 2012-13 Durer Round1 C1

Source:

December 3, 2022
ratioareasDurer

Problem Statement

Each side of a triangle is extended in the same clockwise direction by the length of the given side as shown in the figure. How many times the area of the triangle, obtained by connecting the endpoints, is the area of the original triangle? https://cdn.artofproblemsolving.com/attachments/1/c/a169d3ab99a894667caafee6dbf397632e57e0.png