MathDB
Square construction

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

June 16, 2024
geometryconstructionsquareisosceles right trianglegeometric construction

Problem Statement

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.
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