Triangle and Squares Problem 22
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Squares ABDE, BCFG, and ACJK are constructed
on the sides AB, BC, and AC of a triangle ABC. AMN, BHT, and CPQ are perpendicular to BC,
AC, and AB respectively. Prove that
the areas of the rectangles S1
and S1'
are equal, S2
and S2'
are equal, and S3
and S3'
are equal. 


