Let ABC be a scalene triangle. Extend side BC at both ends such that BD = AB and CE = AC. In triangles ABD and ACE draw perpendiculars BF and CG, and let J be the intersection of BF and CG. Is AJ the bisector for angle BAC?

Hint
Show that <BDJ ≡ <BAJ,
<CAJ ≡ <CEJ,
<BDJ ≡ <CEJ.

Check your answer

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