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Homework Statement
Let AD be and altitude of triangle ABC where angle A is 90 degrees.
Squares BCX1X2, CAY1Y2 and ABZ1Z2 are drawn outwards from the sides.
Let AX1 meet BY2 in U and AAX2 meet CZ1 in V
Prove that each of the quadrilaterals ABDU, ACDV and BX1UV is cyclic
Homework Equations
The Attempt at a Solution
I'm not sure where to start, but I've been given a clue
If angle BUA = angle BDA, the ABDU is cyclic
Let the point where BY2 meets AC be P
Consider triangles AUP and Y2CP