MathDB
Argentina MO 2021 National Level 1 P3

Source:

April 23, 2022
geometryright triangleAngle Chasingcontests

Problem Statement

Let ABCABC be an isosceles right triangle at AA with AB=ACAB=AC. Let MM and NN be on side BCBC, with MM between BB and N,N, such that BM2+NC2=MN2.BM^2+ NC^2= MN^2. Determine the measure of the angle MAN.\angle MAN.