MathDB

4

Part of 2016 Austria Beginners' Competition

Problems(1)

Problem 4 -- Pentagon Proof

Source: 47th Austrian Mathematical Olympiad Beginners' Competition Problem 4

7/27/2018
Let ABCDEABCDE be a convex pentagon with five equal sides and right angles at CC and DD. Let PP denote the intersection point of the diagonals ACAC and BDBD. Prove that the segments PAPA and PDPD have the same length.
(Gottfried Perz)
Austriageometrypentagon