MathDB

2

Part of 1961 Czech and Slovak Olympiad III A

Problems(1)

Square construction

Source: Czech and Slovak Olympiad 1961, National Round, Problem 2

6/16/2024
Let a right isosceles triangle APQAPQ with the hypotenuse APAP be given in plane. Construct such a square ABCDABCD that the lines BC,CDBC, CD contain points P,Q,P, Q, respectively. Compute the length of side AB=bAB = b in terms of AQ=aAQ=a.
geometryconstructionsquareisosceles right trianglegeometric construction