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10. Let abc be a right-angled triangle with /_B=90 degree. Let AD be the bisector of /_A with D on BC. Let the circumcircle of triangle ACD intersect AB again in E; and let the circumcircle of triangle ABD intersect AC again in F. Let K be the reflection of E in the line BC. Prove that FK=BC.

Answer» 10. Let abc be a right-angled triangle with /_B=90 degree. Let AD be the bisector of /_A with D on BC. Let the circumcircle of triangle ACD intersect AB again in E; and let the circumcircle of triangle ABD intersect AC again in F. Let K be the reflection of E in the line BC. Prove that FK=BC.


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